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What is the Least Common Multiple of 64441 and 64457?

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 64441 and 64457 is 4153673537.

LCM(64441,64457) = 4153673537

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Least Common Multiple of 64441 and 64457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64441 and 64457, than apply into the LCM equation.

GCF(64441,64457) = 1
LCM(64441,64457) = ( 64441 × 64457) / 1
LCM(64441,64457) = 4153673537 / 1
LCM(64441,64457) = 4153673537

Least Common Multiple (LCM) of 64441 and 64457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64441 and 64457. First we will calculate the prime factors of 64441 and 64457.

Prime Factorization of 64441

Prime factors of 64441 are 13, 4957. Prime factorization of 64441 in exponential form is:

64441 = 131 × 49571

Prime Factorization of 64457

Prime factors of 64457 are 43, 1499. Prime factorization of 64457 in exponential form is:

64457 = 431 × 14991

Now multiplying the highest exponent prime factors to calculate the LCM of 64441 and 64457.

LCM(64441,64457) = 131 × 49571 × 431 × 14991
LCM(64441,64457) = 4153673537