What is the Least Common Multiple of 69090 and 69100?

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 69090 and 69100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69090 and 69100, than apply into the LCM equation.

GCF(69090,69100) = 10
LCM(69090,69100) = ( 69090 × 69100) / 10
LCM(69090,69100) = 4774119000 / 10
LCM(69090,69100) = 477411900

Least Common Multiple (LCM) of 69090 and 69100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69090 and 69100. First we will calculate the prime factors of 69090 and 69100.

Prime Factorization of 69090

Prime Factorization of 69100

Now multiplying the highest exponent prime factors to calculate the LCM of 69090 and 69100.

LCM(69090,69100) = 2² × 3¹ × 5² × 7² × 47¹ × 691¹
LCM(69090,69100) = 477411900