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What is the Least Common Multiple of 64546 and 64565?

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 64546 and 64565 is 4167412490.

LCM(64546,64565) = 4167412490

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Least Common Multiple of 64546 and 64565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64546 and 64565, than apply into the LCM equation.

GCF(64546,64565) = 1
LCM(64546,64565) = ( 64546 × 64565) / 1
LCM(64546,64565) = 4167412490 / 1
LCM(64546,64565) = 4167412490

Least Common Multiple (LCM) of 64546 and 64565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64546 and 64565. First we will calculate the prime factors of 64546 and 64565.

Prime Factorization of 64546

Prime factors of 64546 are 2, 59, 547. Prime factorization of 64546 in exponential form is:

64546 = 21 × 591 × 5471

Prime Factorization of 64565

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

64565 = 51 × 371 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 64546 and 64565.

LCM(64546,64565) = 21 × 591 × 5471 × 51 × 371 × 3491
LCM(64546,64565) = 4167412490