What is the Least Common Multiple of 62796 and 62813?

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 62796 and 62813 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62796 and 62813, than apply into the LCM equation.

GCF(62796,62813) = 1
LCM(62796,62813) = ( 62796 × 62813) / 1
LCM(62796,62813) = 3944405148 / 1
LCM(62796,62813) = 3944405148

Least Common Multiple (LCM) of 62796 and 62813 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62796 and 62813. First we will calculate the prime factors of 62796 and 62813.

Prime Factorization of 62796

Prime Factorization of 62813

Now multiplying the highest exponent prime factors to calculate the LCM of 62796 and 62813.

LCM(62796,62813) = 2² × 3¹ × 5233¹ × 23¹ × 2731¹
LCM(62796,62813) = 3944405148