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What is the Least Common Multiple of 64762 and 64780?

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 64762 and 64780 is 2097641180.

LCM(64762,64780) = 2097641180

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Least Common Multiple of 64762 and 64780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64762 and 64780, than apply into the LCM equation.

GCF(64762,64780) = 2
LCM(64762,64780) = ( 64762 × 64780) / 2
LCM(64762,64780) = 4195282360 / 2
LCM(64762,64780) = 2097641180

Least Common Multiple (LCM) of 64762 and 64780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64762 and 64780. First we will calculate the prime factors of 64762 and 64780.

Prime Factorization of 64762

Prime factors of 64762 are 2, 32381. Prime factorization of 64762 in exponential form is:

64762 = 21 × 323811

Prime Factorization of 64780

Prime factors of 64780 are 2, 5, 41, 79. Prime factorization of 64780 in exponential form is:

64780 = 22 × 51 × 411 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 64762 and 64780.

LCM(64762,64780) = 22 × 323811 × 51 × 411 × 791
LCM(64762,64780) = 2097641180