What is the Least Common Multiple of 48739 and 48751?

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 48739 and 48751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48739 and 48751, than apply into the LCM equation.

GCF(48739,48751) = 1
LCM(48739,48751) = ( 48739 × 48751) / 1
LCM(48739,48751) = 2376074989 / 1
LCM(48739,48751) = 2376074989

Least Common Multiple (LCM) of 48739 and 48751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48739 and 48751. First we will calculate the prime factors of 48739 and 48751.

Prime Factorization of 48739

Prime Factorization of 48751

Now multiplying the highest exponent prime factors to calculate the LCM of 48739 and 48751.

LCM(48739,48751) = 17¹ × 47¹ × 61¹ × 48751¹
LCM(48739,48751) = 2376074989