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What is the Least Common Multiple of 64656 and 64660?

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 64656 and 64660 is 1045164240.

LCM(64656,64660) = 1045164240

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Least Common Multiple of 64656 and 64660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64656 and 64660, than apply into the LCM equation.

GCF(64656,64660) = 4
LCM(64656,64660) = ( 64656 × 64660) / 4
LCM(64656,64660) = 4180656960 / 4
LCM(64656,64660) = 1045164240

Least Common Multiple (LCM) of 64656 and 64660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64656 and 64660. First we will calculate the prime factors of 64656 and 64660.

Prime Factorization of 64656

Prime factors of 64656 are 2, 3, 449. Prime factorization of 64656 in exponential form is:

64656 = 24 × 32 × 4491

Prime Factorization of 64660

Prime factors of 64660 are 2, 5, 53, 61. Prime factorization of 64660 in exponential form is:

64660 = 22 × 51 × 531 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 64656 and 64660.

LCM(64656,64660) = 24 × 32 × 4491 × 51 × 531 × 611
LCM(64656,64660) = 1045164240