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What is the Least Common Multiple of 74564 and 74582?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 74564 and 74582 is 2780566124.

LCM(74564,74582) = 2780566124

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Least Common Multiple of 74564 and 74582 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74564 and 74582, than apply into the LCM equation.

GCF(74564,74582) = 2
LCM(74564,74582) = ( 74564 × 74582) / 2
LCM(74564,74582) = 5561132248 / 2
LCM(74564,74582) = 2780566124

Least Common Multiple (LCM) of 74564 and 74582 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74564 and 74582. First we will calculate the prime factors of 74564 and 74582.

Prime Factorization of 74564

Prime factors of 74564 are 2, 7, 2663. Prime factorization of 74564 in exponential form is:

74564 = 22 × 71 × 26631

Prime Factorization of 74582

Prime factors of 74582 are 2, 89, 419. Prime factorization of 74582 in exponential form is:

74582 = 21 × 891 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 74564 and 74582.

LCM(74564,74582) = 22 × 71 × 26631 × 891 × 4191
LCM(74564,74582) = 2780566124