What is the Least Common Multiple of 48824 and 48844?

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 48824 and 48844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48824 and 48844, than apply into the LCM equation.

GCF(48824,48844) = 4
LCM(48824,48844) = ( 48824 × 48844) / 4
LCM(48824,48844) = 2384759456 / 4
LCM(48824,48844) = 596189864

Least Common Multiple (LCM) of 48824 and 48844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48824 and 48844. First we will calculate the prime factors of 48824 and 48844.

Prime Factorization of 48824

Prime Factorization of 48844

Now multiplying the highest exponent prime factors to calculate the LCM of 48824 and 48844.

LCM(48824,48844) = 2³ × 17¹ × 359¹ × 12211¹
LCM(48824,48844) = 596189864