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What is the Least Common Multiple of 69132 and 69140?

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 69132 and 69140 is 1194946620.

LCM(69132,69140) = 1194946620

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Least Common Multiple of 69132 and 69140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69132 and 69140, than apply into the LCM equation.

GCF(69132,69140) = 4
LCM(69132,69140) = ( 69132 × 69140) / 4
LCM(69132,69140) = 4779786480 / 4
LCM(69132,69140) = 1194946620

Least Common Multiple (LCM) of 69132 and 69140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69132 and 69140. First we will calculate the prime factors of 69132 and 69140.

Prime Factorization of 69132

Prime factors of 69132 are 2, 3, 7, 823. Prime factorization of 69132 in exponential form is:

69132 = 22 × 31 × 71 × 8231

Prime Factorization of 69140

Prime factors of 69140 are 2, 5, 3457. Prime factorization of 69140 in exponential form is:

69140 = 22 × 51 × 34571

Now multiplying the highest exponent prime factors to calculate the LCM of 69132 and 69140.

LCM(69132,69140) = 22 × 31 × 71 × 8231 × 51 × 34571
LCM(69132,69140) = 1194946620