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What is the Least Common Multiple of 64429 and 64437?

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 64429 and 64437 is 4151611473.

LCM(64429,64437) = 4151611473

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Least Common Multiple of 64429 and 64437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64429 and 64437, than apply into the LCM equation.

GCF(64429,64437) = 1
LCM(64429,64437) = ( 64429 × 64437) / 1
LCM(64429,64437) = 4151611473 / 1
LCM(64429,64437) = 4151611473

Least Common Multiple (LCM) of 64429 and 64437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64429 and 64437. First we will calculate the prime factors of 64429 and 64437.

Prime Factorization of 64429

Prime factors of 64429 are 19, 3391. Prime factorization of 64429 in exponential form is:

64429 = 191 × 33911

Prime Factorization of 64437

Prime factors of 64437 are 3, 47, 457. Prime factorization of 64437 in exponential form is:

64437 = 31 × 471 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 64429 and 64437.

LCM(64429,64437) = 191 × 33911 × 31 × 471 × 4571
LCM(64429,64437) = 4151611473