What is the Least Common Multiple of 49908 and 49917?

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 49908 and 49917 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49908 and 49917, than apply into the LCM equation.

GCF(49908,49917) = 3
LCM(49908,49917) = ( 49908 × 49917) / 3
LCM(49908,49917) = 2491257636 / 3
LCM(49908,49917) = 830419212

Least Common Multiple (LCM) of 49908 and 49917 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49908 and 49917. First we will calculate the prime factors of 49908 and 49917.

Prime Factorization of 49908

Prime Factorization of 49917

Now multiplying the highest exponent prime factors to calculate the LCM of 49908 and 49917.

LCM(49908,49917) = 2² × 3¹ × 4159¹ × 7¹ × 2377¹
LCM(49908,49917) = 830419212