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What is the Least Common Multiple of 64425 and 64434?

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 64425 and 64434 is 1383720150.

LCM(64425,64434) = 1383720150

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Least Common Multiple of 64425 and 64434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64425 and 64434, than apply into the LCM equation.

GCF(64425,64434) = 3
LCM(64425,64434) = ( 64425 × 64434) / 3
LCM(64425,64434) = 4151160450 / 3
LCM(64425,64434) = 1383720150

Least Common Multiple (LCM) of 64425 and 64434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64425 and 64434. First we will calculate the prime factors of 64425 and 64434.

Prime Factorization of 64425

Prime factors of 64425 are 3, 5, 859. Prime factorization of 64425 in exponential form is:

64425 = 31 × 52 × 8591

Prime Factorization of 64434

Prime factors of 64434 are 2, 3, 10739. Prime factorization of 64434 in exponential form is:

64434 = 21 × 31 × 107391

Now multiplying the highest exponent prime factors to calculate the LCM of 64425 and 64434.

LCM(64425,64434) = 31 × 52 × 8591 × 21 × 107391
LCM(64425,64434) = 1383720150