What is the Least Common Multiple of 48780 and 48799?

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 48780 and 48799 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48780 and 48799, than apply into the LCM equation.

GCF(48780,48799) = 1
LCM(48780,48799) = ( 48780 × 48799) / 1
LCM(48780,48799) = 2380415220 / 1
LCM(48780,48799) = 2380415220

Least Common Multiple (LCM) of 48780 and 48799 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48780 and 48799. First we will calculate the prime factors of 48780 and 48799.

Prime Factorization of 48780

Prime Factorization of 48799

Now multiplying the highest exponent prime factors to calculate the LCM of 48780 and 48799.

LCM(48780,48799) = 2² × 3² × 5¹ × 271¹ × 48799¹
LCM(48780,48799) = 2380415220