What is the Least Common Multiple of 48138 and 48154?

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 48138 and 48154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48138 and 48154, than apply into the LCM equation.

GCF(48138,48154) = 2
LCM(48138,48154) = ( 48138 × 48154) / 2
LCM(48138,48154) = 2318037252 / 2
LCM(48138,48154) = 1159018626

Least Common Multiple (LCM) of 48138 and 48154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48138 and 48154. First we will calculate the prime factors of 48138 and 48154.

Prime Factorization of 48138

Prime Factorization of 48154

Now multiplying the highest exponent prime factors to calculate the LCM of 48138 and 48154.

LCM(48138,48154) = 2¹ × 3¹ × 71¹ × 113¹ × 24077¹
LCM(48138,48154) = 1159018626