What is the Least Common Multiple of 48906 and 48917?

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 48906 and 48917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48906 and 48917, than apply into the LCM equation.

GCF(48906,48917) = 11
LCM(48906,48917) = ( 48906 × 48917) / 11
LCM(48906,48917) = 2392334802 / 11
LCM(48906,48917) = 217484982

Least Common Multiple (LCM) of 48906 and 48917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48906 and 48917. First we will calculate the prime factors of 48906 and 48917.

Prime Factorization of 48906

Prime Factorization of 48917

Now multiplying the highest exponent prime factors to calculate the LCM of 48906 and 48917.

LCM(48906,48917) = 2¹ × 3² × 11¹ × 13¹ × 19¹ × 4447¹
LCM(48906,48917) = 217484982