What is the Least Common Multiple of 95876 and 95884?

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 95876 and 95884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95876 and 95884, than apply into the LCM equation.

GCF(95876,95884) = 4
LCM(95876,95884) = ( 95876 × 95884) / 4
LCM(95876,95884) = 9192974384 / 4
LCM(95876,95884) = 2298243596

Least Common Multiple (LCM) of 95876 and 95884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95876 and 95884. First we will calculate the prime factors of 95876 and 95884.

Prime Factorization of 95876

Prime Factorization of 95884

Now multiplying the highest exponent prime factors to calculate the LCM of 95876 and 95884.

LCM(95876,95884) = 2² × 11¹ × 2179¹ × 23971¹
LCM(95876,95884) = 2298243596