GCF and LCM Calculator Logo

What is the Least Common Multiple of 69122 and 69136?

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 69122 and 69136 is 2389409296.

LCM(69122,69136) = 2389409296

LCM Calculator and
and

Least Common Multiple of 69122 and 69136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69122 and 69136, than apply into the LCM equation.

GCF(69122,69136) = 2
LCM(69122,69136) = ( 69122 × 69136) / 2
LCM(69122,69136) = 4778818592 / 2
LCM(69122,69136) = 2389409296

Least Common Multiple (LCM) of 69122 and 69136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69122 and 69136. First we will calculate the prime factors of 69122 and 69136.

Prime Factorization of 69122

Prime factors of 69122 are 2, 17, 19, 107. Prime factorization of 69122 in exponential form is:

69122 = 21 × 171 × 191 × 1071

Prime Factorization of 69136

Prime factors of 69136 are 2, 29, 149. Prime factorization of 69136 in exponential form is:

69136 = 24 × 291 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 69122 and 69136.

LCM(69122,69136) = 24 × 171 × 191 × 1071 × 291 × 1491
LCM(69122,69136) = 2389409296