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What is the Least Common Multiple of 66767 and 66772?

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 66767 and 66772 is 4458166124.

LCM(66767,66772) = 4458166124

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Least Common Multiple of 66767 and 66772 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66767 and 66772, than apply into the LCM equation.

GCF(66767,66772) = 1
LCM(66767,66772) = ( 66767 × 66772) / 1
LCM(66767,66772) = 4458166124 / 1
LCM(66767,66772) = 4458166124

Least Common Multiple (LCM) of 66767 and 66772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66767 and 66772. First we will calculate the prime factors of 66767 and 66772.

Prime Factorization of 66767

Prime factors of 66767 are 179, 373. Prime factorization of 66767 in exponential form is:

66767 = 1791 × 3731

Prime Factorization of 66772

Prime factors of 66772 are 2, 16693. Prime factorization of 66772 in exponential form is:

66772 = 22 × 166931

Now multiplying the highest exponent prime factors to calculate the LCM of 66767 and 66772.

LCM(66767,66772) = 1791 × 3731 × 22 × 166931
LCM(66767,66772) = 4458166124