What is the Least Common Multiple of 95220 and 95237?

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 95220 and 95237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95220 and 95237, than apply into the LCM equation.

GCF(95220,95237) = 1
LCM(95220,95237) = ( 95220 × 95237) / 1
LCM(95220,95237) = 9068467140 / 1
LCM(95220,95237) = 9068467140

Least Common Multiple (LCM) of 95220 and 95237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95220 and 95237. First we will calculate the prime factors of 95220 and 95237.

Prime Factorization of 95220

Prime Factorization of 95237

Now multiplying the highest exponent prime factors to calculate the LCM of 95220 and 95237.

LCM(95220,95237) = 2² × 3² × 5¹ × 23² × 131¹ × 727¹
LCM(95220,95237) = 9068467140