What is the Least Common Multiple of 95220 and 95225?

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 95225 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 95225, than apply into the LCM equation.

GCF(95220,95225) = 5
LCM(95220,95225) = ( 95220 × 95225) / 5
LCM(95220,95225) = 9067324500 / 5
LCM(95220,95225) = 1813464900

Least Common Multiple (LCM) of 95220 and 95225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95220 and 95225. First we will calculate the prime factors of 95220 and 95225.

Prime Factorization of 95220

Prime Factorization of 95225

Now multiplying the highest exponent prime factors to calculate the LCM of 95220 and 95225.

LCM(95220,95225) = 2² × 3² × 5² × 23² × 13¹ × 293¹
LCM(95220,95225) = 1813464900