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What is the Least Common Multiple of 64758 and 64762?

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 64758 and 64762 is 2096928798.

LCM(64758,64762) = 2096928798

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Least Common Multiple of 64758 and 64762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64758 and 64762, than apply into the LCM equation.

GCF(64758,64762) = 2
LCM(64758,64762) = ( 64758 × 64762) / 2
LCM(64758,64762) = 4193857596 / 2
LCM(64758,64762) = 2096928798

Least Common Multiple (LCM) of 64758 and 64762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64758 and 64762. First we will calculate the prime factors of 64758 and 64762.

Prime Factorization of 64758

Prime factors of 64758 are 2, 3, 43, 251. Prime factorization of 64758 in exponential form is:

64758 = 21 × 31 × 431 × 2511

Prime Factorization of 64762

Prime factors of 64762 are 2, 32381. Prime factorization of 64762 in exponential form is:

64762 = 21 × 323811

Now multiplying the highest exponent prime factors to calculate the LCM of 64758 and 64762.

LCM(64758,64762) = 21 × 31 × 431 × 2511 × 323811
LCM(64758,64762) = 2096928798