What is the Least Common Multiple of 69100 and 69106?

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 69106 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 69106, than apply into the LCM equation.

GCF(69100,69106) = 2
LCM(69100,69106) = ( 69100 × 69106) / 2
LCM(69100,69106) = 4775224600 / 2
LCM(69100,69106) = 2387612300

Least Common Multiple (LCM) of 69100 and 69106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69100 and 69106. First we will calculate the prime factors of 69100 and 69106.

Prime Factorization of 69100

Prime Factorization of 69106

Now multiplying the highest exponent prime factors to calculate the LCM of 69100 and 69106.

LCM(69100,69106) = 2² × 5² × 691¹ × 109¹ × 317¹
LCM(69100,69106) = 2387612300