What is the Least Common Multiple of 48186 and 48198?

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 48186 and 48198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48186 and 48198, than apply into the LCM equation.

GCF(48186,48198) = 6
LCM(48186,48198) = ( 48186 × 48198) / 6
LCM(48186,48198) = 2322468828 / 6
LCM(48186,48198) = 387078138

Least Common Multiple (LCM) of 48186 and 48198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48186 and 48198. First we will calculate the prime factors of 48186 and 48198.

Prime Factorization of 48186

Prime Factorization of 48198

Now multiplying the highest exponent prime factors to calculate the LCM of 48186 and 48198.

LCM(48186,48198) = 2¹ × 3² × 2677¹ × 29¹ × 277¹
LCM(48186,48198) = 387078138