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What is the Least Common Multiple of 64462 and 64476?

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 64462 and 64476 is 2078125956.

LCM(64462,64476) = 2078125956

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Least Common Multiple of 64462 and 64476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64462 and 64476, than apply into the LCM equation.

GCF(64462,64476) = 2
LCM(64462,64476) = ( 64462 × 64476) / 2
LCM(64462,64476) = 4156251912 / 2
LCM(64462,64476) = 2078125956

Least Common Multiple (LCM) of 64462 and 64476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64462 and 64476. First we will calculate the prime factors of 64462 and 64476.

Prime Factorization of 64462

Prime factors of 64462 are 2, 167, 193. Prime factorization of 64462 in exponential form is:

64462 = 21 × 1671 × 1931

Prime Factorization of 64476

Prime factors of 64476 are 2, 3, 199. Prime factorization of 64476 in exponential form is:

64476 = 22 × 34 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 64462 and 64476.

LCM(64462,64476) = 22 × 1671 × 1931 × 34 × 1991
LCM(64462,64476) = 2078125956