What is the Least Common Multiple of 95958 and 95968?

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 95958 and 95968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95958 and 95968, than apply into the LCM equation.

GCF(95958,95968) = 2
LCM(95958,95968) = ( 95958 × 95968) / 2
LCM(95958,95968) = 9208897344 / 2
LCM(95958,95968) = 4604448672

Least Common Multiple (LCM) of 95958 and 95968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95958 and 95968. First we will calculate the prime factors of 95958 and 95968.

Prime Factorization of 95958

Prime Factorization of 95968

Now multiplying the highest exponent prime factors to calculate the LCM of 95958 and 95968.

LCM(95958,95968) = 2⁵ × 3³ × 1777¹ × 2999¹
LCM(95958,95968) = 4604448672