What is the Least Common Multiple of 69100 and 69118?

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 69100 and 69118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69100 and 69118, than apply into the LCM equation.

GCF(69100,69118) = 2
LCM(69100,69118) = ( 69100 × 69118) / 2
LCM(69100,69118) = 4776053800 / 2
LCM(69100,69118) = 2388026900

Least Common Multiple (LCM) of 69100 and 69118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69100 and 69118. First we will calculate the prime factors of 69100 and 69118.

Prime Factorization of 69100

Prime Factorization of 69118

Now multiplying the highest exponent prime factors to calculate the LCM of 69100 and 69118.

LCM(69100,69118) = 2² × 5² × 691¹ × 7¹ × 4937¹
LCM(69100,69118) = 2388026900