What is the Least Common Multiple of 95996 and 96014?

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 95996 and 96014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95996 and 96014, than apply into the LCM equation.

GCF(95996,96014) = 2
LCM(95996,96014) = ( 95996 × 96014) / 2
LCM(95996,96014) = 9216959944 / 2
LCM(95996,96014) = 4608479972

Least Common Multiple (LCM) of 95996 and 96014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95996 and 96014. First we will calculate the prime factors of 95996 and 96014.

Prime Factorization of 95996

Prime Factorization of 96014

Now multiplying the highest exponent prime factors to calculate the LCM of 95996 and 96014.

LCM(95996,96014) = 2² × 103¹ × 233¹ × 61¹ × 787¹
LCM(95996,96014) = 4608479972