What is the Least Common Multiple of 48676 and 48695?

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 48676 and 48695 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48676 and 48695, than apply into the LCM equation.

GCF(48676,48695) = 1
LCM(48676,48695) = ( 48676 × 48695) / 1
LCM(48676,48695) = 2370277820 / 1
LCM(48676,48695) = 2370277820

Least Common Multiple (LCM) of 48676 and 48695 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48676 and 48695. First we will calculate the prime factors of 48676 and 48695.

Prime Factorization of 48676

Prime Factorization of 48695

Now multiplying the highest exponent prime factors to calculate the LCM of 48676 and 48695.

LCM(48676,48695) = 2² × 43¹ × 283¹ × 5¹ × 9739¹
LCM(48676,48695) = 2370277820