What is the Least Common Multiple of 95052 and 95056?

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 95056 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 95056, than apply into the LCM equation.

GCF(95052,95056) = 4
LCM(95052,95056) = ( 95052 × 95056) / 4
LCM(95052,95056) = 9035262912 / 4
LCM(95052,95056) = 2258815728

Least Common Multiple (LCM) of 95052 and 95056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95052 and 95056. First we will calculate the prime factors of 95052 and 95056.

Prime Factorization of 95052

Prime Factorization of 95056

Now multiplying the highest exponent prime factors to calculate the LCM of 95052 and 95056.

LCM(95052,95056) = 2⁴ × 3¹ × 89² × 13¹ × 457¹
LCM(95052,95056) = 2258815728