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What is the Least Common Multiple of 66812 and 66828?

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 66812 and 66828 is 1116228084.

LCM(66812,66828) = 1116228084

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Least Common Multiple of 66812 and 66828 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66812 and 66828, than apply into the LCM equation.

GCF(66812,66828) = 4
LCM(66812,66828) = ( 66812 × 66828) / 4
LCM(66812,66828) = 4464912336 / 4
LCM(66812,66828) = 1116228084

Least Common Multiple (LCM) of 66812 and 66828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66812 and 66828. First we will calculate the prime factors of 66812 and 66828.

Prime Factorization of 66812

Prime factors of 66812 are 2, 16703. Prime factorization of 66812 in exponential form is:

66812 = 22 × 167031

Prime Factorization of 66828

Prime factors of 66828 are 2, 3, 5569. Prime factorization of 66828 in exponential form is:

66828 = 22 × 31 × 55691

Now multiplying the highest exponent prime factors to calculate the LCM of 66812 and 66828.

LCM(66812,66828) = 22 × 167031 × 31 × 55691
LCM(66812,66828) = 1116228084