What is the Least Common Multiple of 48112 and 48132?

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 48112 and 48132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48112 and 48132, than apply into the LCM equation.

GCF(48112,48132) = 4
LCM(48112,48132) = ( 48112 × 48132) / 4
LCM(48112,48132) = 2315726784 / 4
LCM(48112,48132) = 578931696

Least Common Multiple (LCM) of 48112 and 48132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48112 and 48132. First we will calculate the prime factors of 48112 and 48132.

Prime Factorization of 48112

Prime Factorization of 48132

Now multiplying the highest exponent prime factors to calculate the LCM of 48112 and 48132.

LCM(48112,48132) = 2⁴ × 31¹ × 97¹ × 3² × 7¹ × 191¹
LCM(48112,48132) = 578931696