Find the lcm of 40 and 45 step by step
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Least Common Multiple (LCM) of 40 and 45 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40 and 45. First we will calculate the prime factors of 40 and 45.
Prime Factorization of 40
Prime factors of 40 are 2, 5. Prime factorization of 40 in exponential form is:
40 = 23 × 51
Prime Factorization of 45
Prime factors of 45 are 3, 5. Prime factorization of 45 in exponential form is:
45 = 32 × 51
Now multiplying the highest exponent prime factors to calculate the LCM of 40 and 45.
LCM(40,45) = 23 × 51 × 32
LCM(40,45) = 360
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