What is the Least Common Multiple of 90195 and 90204?

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 90195 and 90204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90195 and 90204, than apply into the LCM equation.

GCF(90195,90204) = 3
LCM(90195,90204) = ( 90195 × 90204) / 3
LCM(90195,90204) = 8135949780 / 3
LCM(90195,90204) = 2711983260

Least Common Multiple (LCM) of 90195 and 90204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90195 and 90204. First we will calculate the prime factors of 90195 and 90204.

Prime Factorization of 90195

Prime Factorization of 90204

Now multiplying the highest exponent prime factors to calculate the LCM of 90195 and 90204.

LCM(90195,90204) = 3¹ × 5¹ × 7¹ × 859¹ × 2² × 7517¹
LCM(90195,90204) = 2711983260