What is the Least Common Multiple of 95874 and 95880?

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 95874 and 95880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95874 and 95880, than apply into the LCM equation.

GCF(95874,95880) = 6
LCM(95874,95880) = ( 95874 × 95880) / 6
LCM(95874,95880) = 9192399120 / 6
LCM(95874,95880) = 1532066520

Least Common Multiple (LCM) of 95874 and 95880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95874 and 95880. First we will calculate the prime factors of 95874 and 95880.

Prime Factorization of 95874

Prime Factorization of 95880

Now multiplying the highest exponent prime factors to calculate the LCM of 95874 and 95880.

LCM(95874,95880) = 2³ × 3¹ × 19¹ × 29² × 5¹ × 17¹ × 47¹
LCM(95874,95880) = 1532066520