What is the Least Common Multiple of 48909 and 48924?

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 48909 and 48924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48909 and 48924, than apply into the LCM equation.

GCF(48909,48924) = 3
LCM(48909,48924) = ( 48909 × 48924) / 3
LCM(48909,48924) = 2392823916 / 3
LCM(48909,48924) = 797607972

Least Common Multiple (LCM) of 48909 and 48924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48909 and 48924. First we will calculate the prime factors of 48909 and 48924.

Prime Factorization of 48909

Prime Factorization of 48924

Now multiplying the highest exponent prime factors to calculate the LCM of 48909 and 48924.

LCM(48909,48924) = 3⁴ × 7¹ × 17¹ × 137¹ × 2² × 151¹
LCM(48909,48924) = 797607972