What is the Least Common Multiple of 77128 and 77146?

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 77128 and 77146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77128 and 77146, than apply into the LCM equation.

GCF(77128,77146) = 2
LCM(77128,77146) = ( 77128 × 77146) / 2
LCM(77128,77146) = 5950116688 / 2
LCM(77128,77146) = 2975058344

Least Common Multiple (LCM) of 77128 and 77146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77128 and 77146. First we will calculate the prime factors of 77128 and 77146.

Prime Factorization of 77128

Prime Factorization of 77146

Now multiplying the highest exponent prime factors to calculate the LCM of 77128 and 77146.

LCM(77128,77146) = 2³ × 31¹ × 311¹ × 17¹ × 2269¹
LCM(77128,77146) = 2975058344