What is the Least Common Multiple of 95220 and 95230?

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 95230 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 95230, than apply into the LCM equation.

GCF(95220,95230) = 10
LCM(95220,95230) = ( 95220 × 95230) / 10
LCM(95220,95230) = 9067800600 / 10
LCM(95220,95230) = 906780060

Least Common Multiple (LCM) of 95220 and 95230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95220 and 95230. First we will calculate the prime factors of 95220 and 95230.

Prime Factorization of 95220

Prime Factorization of 95230

Now multiplying the highest exponent prime factors to calculate the LCM of 95220 and 95230.

LCM(95220,95230) = 2² × 3² × 5¹ × 23² × 89¹ × 107¹
LCM(95220,95230) = 906780060