What is the Least Common Multiple of 77128 and 77134?

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 77134 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 77134, than apply into the LCM equation.

GCF(77128,77134) = 2
LCM(77128,77134) = ( 77128 × 77134) / 2
LCM(77128,77134) = 5949191152 / 2
LCM(77128,77134) = 2974595576

Least Common Multiple (LCM) of 77128 and 77134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77128 and 77134. First we will calculate the prime factors of 77128 and 77134.

Prime Factorization of 77128

Prime Factorization of 77134

Now multiplying the highest exponent prime factors to calculate the LCM of 77128 and 77134.

LCM(77128,77134) = 2³ × 31¹ × 311¹ × 38567¹
LCM(77128,77134) = 2974595576