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What is the Least Common Multiple of 64658 and 64673?

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 64658 and 64673 is 4181626834.

LCM(64658,64673) = 4181626834

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Least Common Multiple of 64658 and 64673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64658 and 64673, than apply into the LCM equation.

GCF(64658,64673) = 1
LCM(64658,64673) = ( 64658 × 64673) / 1
LCM(64658,64673) = 4181626834 / 1
LCM(64658,64673) = 4181626834

Least Common Multiple (LCM) of 64658 and 64673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64658 and 64673. First we will calculate the prime factors of 64658 and 64673.

Prime Factorization of 64658

Prime factors of 64658 are 2, 11, 2939. Prime factorization of 64658 in exponential form is:

64658 = 21 × 111 × 29391

Prime Factorization of 64673

Prime factors of 64673 are 7, 9239. Prime factorization of 64673 in exponential form is:

64673 = 71 × 92391

Now multiplying the highest exponent prime factors to calculate the LCM of 64658 and 64673.

LCM(64658,64673) = 21 × 111 × 29391 × 71 × 92391
LCM(64658,64673) = 4181626834