What is the Least Common Multiple of 48168 and 48186?

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 48168 and 48186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48168 and 48186, than apply into the LCM equation.

GCF(48168,48186) = 18
LCM(48168,48186) = ( 48168 × 48186) / 18
LCM(48168,48186) = 2321023248 / 18
LCM(48168,48186) = 128945736

Least Common Multiple (LCM) of 48168 and 48186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48168 and 48186. First we will calculate the prime factors of 48168 and 48186.

Prime Factorization of 48168

Prime Factorization of 48186

Now multiplying the highest exponent prime factors to calculate the LCM of 48168 and 48186.

LCM(48168,48186) = 2³ × 3³ × 223¹ × 2677¹
LCM(48168,48186) = 128945736