What is the Least Common Multiple of 95964 and 95978?

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 95964 and 95978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95964 and 95978, than apply into the LCM equation.

GCF(95964,95978) = 2
LCM(95964,95978) = ( 95964 × 95978) / 2
LCM(95964,95978) = 9210432792 / 2
LCM(95964,95978) = 4605216396

Least Common Multiple (LCM) of 95964 and 95978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95964 and 95978. First we will calculate the prime factors of 95964 and 95978.

Prime Factorization of 95964

Prime Factorization of 95978

Now multiplying the highest exponent prime factors to calculate the LCM of 95964 and 95978.

LCM(95964,95978) = 2² × 3¹ × 11¹ × 727¹ × 37¹ × 1297¹
LCM(95964,95978) = 4605216396