What is the Least Common Multiple of 95052 and 95060?

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 95052 and 95060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95052 and 95060, than apply into the LCM equation.

GCF(95052,95060) = 4
LCM(95052,95060) = ( 95052 × 95060) / 4
LCM(95052,95060) = 9035643120 / 4
LCM(95052,95060) = 2258910780

Least Common Multiple (LCM) of 95052 and 95060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95052 and 95060. First we will calculate the prime factors of 95052 and 95060.

Prime Factorization of 95052

Prime Factorization of 95060

Now multiplying the highest exponent prime factors to calculate the LCM of 95052 and 95060.

LCM(95052,95060) = 2² × 3¹ × 89² × 5¹ × 7² × 97¹
LCM(95052,95060) = 2258910780