What is the Least Common Multiple of 95202 and 95220?

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 95202 and 95220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95202 and 95220, than apply into the LCM equation.

GCF(95202,95220) = 18
LCM(95202,95220) = ( 95202 × 95220) / 18
LCM(95202,95220) = 9065134440 / 18
LCM(95202,95220) = 503618580

Least Common Multiple (LCM) of 95202 and 95220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95202 and 95220. First we will calculate the prime factors of 95202 and 95220.

Prime Factorization of 95202

Prime Factorization of 95220

Now multiplying the highest exponent prime factors to calculate the LCM of 95202 and 95220.

LCM(95202,95220) = 2² × 3³ × 41¹ × 43¹ × 5¹ × 23²
LCM(95202,95220) = 503618580