What is the Least Common Multiple of 48148 and 48166?

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 48148 and 48166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48148 and 48166, than apply into the LCM equation.

GCF(48148,48166) = 2
LCM(48148,48166) = ( 48148 × 48166) / 2
LCM(48148,48166) = 2319096568 / 2
LCM(48148,48166) = 1159548284

Least Common Multiple (LCM) of 48148 and 48166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48148 and 48166. First we will calculate the prime factors of 48148 and 48166.

Prime Factorization of 48148

Prime Factorization of 48166

Now multiplying the highest exponent prime factors to calculate the LCM of 48148 and 48166.

LCM(48148,48166) = 2² × 12037¹ × 24083¹
LCM(48148,48166) = 1159548284