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What is the Least Common Multiple of 69006 and 69022?

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 69006 and 69022 is 2381466066.

LCM(69006,69022) = 2381466066

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Least Common Multiple of 69006 and 69022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69006 and 69022, than apply into the LCM equation.

GCF(69006,69022) = 2
LCM(69006,69022) = ( 69006 × 69022) / 2
LCM(69006,69022) = 4762932132 / 2
LCM(69006,69022) = 2381466066

Least Common Multiple (LCM) of 69006 and 69022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69006 and 69022. First we will calculate the prime factors of 69006 and 69022.

Prime Factorization of 69006

Prime factors of 69006 are 2, 3, 7, 31, 53. Prime factorization of 69006 in exponential form is:

69006 = 21 × 31 × 71 × 311 × 531

Prime Factorization of 69022

Prime factors of 69022 are 2, 34511. Prime factorization of 69022 in exponential form is:

69022 = 21 × 345111

Now multiplying the highest exponent prime factors to calculate the LCM of 69006 and 69022.

LCM(69006,69022) = 21 × 31 × 71 × 311 × 531 × 345111
LCM(69006,69022) = 2381466066