What is the Least Common Multiple of 95066 and 95078?

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 95066 and 95078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95066 and 95078, than apply into the LCM equation.

GCF(95066,95078) = 2
LCM(95066,95078) = ( 95066 × 95078) / 2
LCM(95066,95078) = 9038685148 / 2
LCM(95066,95078) = 4519342574

Least Common Multiple (LCM) of 95066 and 95078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95066 and 95078. First we will calculate the prime factors of 95066 and 95078.

Prime Factorization of 95066

Prime Factorization of 95078

Now multiplying the highest exponent prime factors to calculate the LCM of 95066 and 95078.

LCM(95066,95078) = 2¹ × 47533¹ × 137¹ × 347¹
LCM(95066,95078) = 4519342574