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What is the Least Common Multiple of 64670 and 64686?

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 64670 and 64686 is 2091621810.

LCM(64670,64686) = 2091621810

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Least Common Multiple of 64670 and 64686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64670 and 64686, than apply into the LCM equation.

GCF(64670,64686) = 2
LCM(64670,64686) = ( 64670 × 64686) / 2
LCM(64670,64686) = 4183243620 / 2
LCM(64670,64686) = 2091621810

Least Common Multiple (LCM) of 64670 and 64686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64670 and 64686. First we will calculate the prime factors of 64670 and 64686.

Prime Factorization of 64670

Prime factors of 64670 are 2, 5, 29, 223. Prime factorization of 64670 in exponential form is:

64670 = 21 × 51 × 291 × 2231

Prime Factorization of 64686

Prime factors of 64686 are 2, 3, 10781. Prime factorization of 64686 in exponential form is:

64686 = 21 × 31 × 107811

Now multiplying the highest exponent prime factors to calculate the LCM of 64670 and 64686.

LCM(64670,64686) = 21 × 51 × 291 × 2231 × 31 × 107811
LCM(64670,64686) = 2091621810