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What is the Least Common Multiple of 66762 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 66762 and 66772 is 2228916132.

LCM(66762,66772) = 2228916132

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Least Common Multiple of 66762 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 66762 and 66772, than apply into the LCM equation.

GCF(66762,66772) = 2
LCM(66762,66772) = ( 66762 × 66772) / 2
LCM(66762,66772) = 4457832264 / 2
LCM(66762,66772) = 2228916132

Least Common Multiple (LCM) of 66762 and 66772 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66762 and 66772. First we will calculate the prime factors of 66762 and 66772.

Prime Factorization of 66762

Prime factors of 66762 are 2, 3, 3709. Prime factorization of 66762 in exponential form is:

66762 = 21 × 32 × 37091

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 66762 and 66772.

LCM(66762,66772) = 22 × 32 × 37091 × 166931
LCM(66762,66772) = 2228916132