What is the Least Common Multiple of 48588 and 48597?

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 48588 and 48597 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48588 and 48597, than apply into the LCM equation.

GCF(48588,48597) = 3
LCM(48588,48597) = ( 48588 × 48597) / 3
LCM(48588,48597) = 2361231036 / 3
LCM(48588,48597) = 787077012

Least Common Multiple (LCM) of 48588 and 48597 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48588 and 48597. First we will calculate the prime factors of 48588 and 48597.

Prime Factorization of 48588

Prime Factorization of 48597

Now multiplying the highest exponent prime factors to calculate the LCM of 48588 and 48597.

LCM(48588,48597) = 2² × 3¹ × 4049¹ × 97¹ × 167¹
LCM(48588,48597) = 787077012