What is the Least Common Multiple of 69075 and 69090?

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 69075 and 69090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69075 and 69090, than apply into the LCM equation.

GCF(69075,69090) = 15
LCM(69075,69090) = ( 69075 × 69090) / 15
LCM(69075,69090) = 4772391750 / 15
LCM(69075,69090) = 318159450

Least Common Multiple (LCM) of 69075 and 69090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69075 and 69090. First we will calculate the prime factors of 69075 and 69090.

Prime Factorization of 69075

Prime Factorization of 69090

Now multiplying the highest exponent prime factors to calculate the LCM of 69075 and 69090.

LCM(69075,69090) = 3² × 5² × 307¹ × 2¹ × 7² × 47¹
LCM(69075,69090) = 318159450