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What is the Least Common Multiple of 4757 and 4762?

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 4757 and 4762 is 22652834.

LCM(4757,4762) = 22652834

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Least Common Multiple of 4757 and 4762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4757 and 4762, than apply into the LCM equation.

GCF(4757,4762) = 1
LCM(4757,4762) = ( 4757 × 4762) / 1
LCM(4757,4762) = 22652834 / 1
LCM(4757,4762) = 22652834

Least Common Multiple (LCM) of 4757 and 4762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4757 and 4762. First we will calculate the prime factors of 4757 and 4762.

Prime Factorization of 4757

Prime factors of 4757 are 67, 71. Prime factorization of 4757 in exponential form is:

4757 = 671 × 711

Prime Factorization of 4762

Prime factors of 4762 are 2, 2381. Prime factorization of 4762 in exponential form is:

4762 = 21 × 23811

Now multiplying the highest exponent prime factors to calculate the LCM of 4757 and 4762.

LCM(4757,4762) = 671 × 711 × 21 × 23811
LCM(4757,4762) = 22652834