What is the Least Common Multiple of 48800 and 48820?

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 48800 and 48820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48800 and 48820, than apply into the LCM equation.

GCF(48800,48820) = 20
LCM(48800,48820) = ( 48800 × 48820) / 20
LCM(48800,48820) = 2382416000 / 20
LCM(48800,48820) = 119120800

Least Common Multiple (LCM) of 48800 and 48820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48800 and 48820. First we will calculate the prime factors of 48800 and 48820.

Prime Factorization of 48800

Prime Factorization of 48820

Now multiplying the highest exponent prime factors to calculate the LCM of 48800 and 48820.

LCM(48800,48820) = 2⁵ × 5² × 61¹ × 2441¹
LCM(48800,48820) = 119120800