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What is the Least Common Multiple of 64565 and 64574?

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 64565 and 64574 is 4169220310.

LCM(64565,64574) = 4169220310

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Least Common Multiple of 64565 and 64574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64565 and 64574, than apply into the LCM equation.

GCF(64565,64574) = 1
LCM(64565,64574) = ( 64565 × 64574) / 1
LCM(64565,64574) = 4169220310 / 1
LCM(64565,64574) = 4169220310

Least Common Multiple (LCM) of 64565 and 64574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64565 and 64574. First we will calculate the prime factors of 64565 and 64574.

Prime Factorization of 64565

Prime factors of 64565 are 5, 37, 349. Prime factorization of 64565 in exponential form is:

64565 = 51 × 371 × 3491

Prime Factorization of 64574

Prime factors of 64574 are 2, 83, 389. Prime factorization of 64574 in exponential form is:

64574 = 21 × 831 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 64565 and 64574.

LCM(64565,64574) = 51 × 371 × 3491 × 21 × 831 × 3891
LCM(64565,64574) = 4169220310