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What is the Least Common Multiple of 64676 and 64685?

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 64676 and 64685 is 4183567060.

LCM(64676,64685) = 4183567060

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Least Common Multiple of 64676 and 64685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64676 and 64685, than apply into the LCM equation.

GCF(64676,64685) = 1
LCM(64676,64685) = ( 64676 × 64685) / 1
LCM(64676,64685) = 4183567060 / 1
LCM(64676,64685) = 4183567060

Least Common Multiple (LCM) of 64676 and 64685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64676 and 64685. First we will calculate the prime factors of 64676 and 64685.

Prime Factorization of 64676

Prime factors of 64676 are 2, 19, 23, 37. Prime factorization of 64676 in exponential form is:

64676 = 22 × 191 × 231 × 371

Prime Factorization of 64685

Prime factors of 64685 are 5, 17, 761. Prime factorization of 64685 in exponential form is:

64685 = 51 × 171 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 64676 and 64685.

LCM(64676,64685) = 22 × 191 × 231 × 371 × 51 × 171 × 7611
LCM(64676,64685) = 4183567060