What is the Least Common Multiple of 48356 and 48372?

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 48356 and 48372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48356 and 48372, than apply into the LCM equation.

GCF(48356,48372) = 4
LCM(48356,48372) = ( 48356 × 48372) / 4
LCM(48356,48372) = 2339076432 / 4
LCM(48356,48372) = 584769108

Least Common Multiple (LCM) of 48356 and 48372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48356 and 48372. First we will calculate the prime factors of 48356 and 48372.

Prime Factorization of 48356

Prime Factorization of 48372

Now multiplying the highest exponent prime factors to calculate the LCM of 48356 and 48372.

LCM(48356,48372) = 2² × 7¹ × 11¹ × 157¹ × 3¹ × 29¹ × 139¹
LCM(48356,48372) = 584769108