find lcm of 276 by using prime factors method
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Least common multiple can be found by multiplying the highest exponent prime factors of 276 and 280. First we will calculate the prime factors of 276 and 280.
Prime Factorization of 276
Prime factors of 276 are 2, 3, 23. Prime factorization of 276 in exponential form is:
276 = 22 × 31 × 231
Prime Factorization of 280
Prime factors of 280 are 2, 5, 7. Prime factorization of 280 in exponential form is:
280 = 23 × 51 × 71
Now multiplying the highest exponent prime factors to calculate the LCM of 276 and 280.
LCM(276,280) = 23 × 31 × 231 × 51 × 71
LCM(276,280) = 19320
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