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What is the Least Common Multiple of 64743 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 64743 and 64762 is 4192886166.

LCM(64743,64762) = 4192886166

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Least Common Multiple of 64743 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 64743 and 64762, than apply into the LCM equation.

GCF(64743,64762) = 1
LCM(64743,64762) = ( 64743 × 64762) / 1
LCM(64743,64762) = 4192886166 / 1
LCM(64743,64762) = 4192886166

Least Common Multiple (LCM) of 64743 and 64762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64743 and 64762. First we will calculate the prime factors of 64743 and 64762.

Prime Factorization of 64743

Prime factors of 64743 are 3, 7, 3083. Prime factorization of 64743 in exponential form is:

64743 = 31 × 71 × 30831

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 64743 and 64762.

LCM(64743,64762) = 31 × 71 × 30831 × 21 × 323811
LCM(64743,64762) = 4192886166