What is the Least Common Multiple of 48702 and 48712?

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 48702 and 48712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48702 and 48712, than apply into the LCM equation.

GCF(48702,48712) = 2
LCM(48702,48712) = ( 48702 × 48712) / 2
LCM(48702,48712) = 2372371824 / 2
LCM(48702,48712) = 1186185912

Least Common Multiple (LCM) of 48702 and 48712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48702 and 48712. First we will calculate the prime factors of 48702 and 48712.

Prime Factorization of 48702

Prime Factorization of 48712

Now multiplying the highest exponent prime factors to calculate the LCM of 48702 and 48712.

LCM(48702,48712) = 2³ × 3¹ × 8117¹ × 6089¹
LCM(48702,48712) = 1186185912