What is the Least Common Multiple of 95974 and 95992?

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 95974 and 95992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95974 and 95992, than apply into the LCM equation.

GCF(95974,95992) = 2
LCM(95974,95992) = ( 95974 × 95992) / 2
LCM(95974,95992) = 9212736208 / 2
LCM(95974,95992) = 4606368104

Least Common Multiple (LCM) of 95974 and 95992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95974 and 95992. First we will calculate the prime factors of 95974 and 95992.

Prime Factorization of 95974

Prime Factorization of 95992

Now multiplying the highest exponent prime factors to calculate the LCM of 95974 and 95992.

LCM(95974,95992) = 2³ × 47¹ × 1021¹ × 13² × 71¹
LCM(95974,95992) = 4606368104