What is the Least Common Multiple of 69138 and 69156?

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 of 69138 and 69156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69138 and 69156, than apply into the LCM equation.

GCF(69138,69156) = 18
LCM(69138,69156) = ( 69138 × 69156) / 18
LCM(69138,69156) = 4781307528 / 18
LCM(69138,69156) = 265628196

Least Common Multiple (LCM) of 69138 and 69156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69138 and 69156. First we will calculate the prime factors of 69138 and 69156.

Prime Factorization of 69138

Prime Factorization of 69156

Now multiplying the highest exponent prime factors to calculate the LCM of 69138 and 69156.

LCM(69138,69156) = 2² × 3² × 23¹ × 167¹ × 17¹ × 113¹
LCM(69138,69156) = 265628196