What is the Least Common Multiple of 48596 and 48607?

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 48596 and 48607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48596 and 48607, than apply into the LCM equation.

GCF(48596,48607) = 1
LCM(48596,48607) = ( 48596 × 48607) / 1
LCM(48596,48607) = 2362105772 / 1
LCM(48596,48607) = 2362105772

Least Common Multiple (LCM) of 48596 and 48607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48596 and 48607. First we will calculate the prime factors of 48596 and 48607.

Prime Factorization of 48596

Prime Factorization of 48607

Now multiplying the highest exponent prime factors to calculate the LCM of 48596 and 48607.

LCM(48596,48607) = 2² × 12149¹ × 13¹ × 3739¹
LCM(48596,48607) = 2362105772