What is the Least Common Multiple of 62728 and 62746?

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 62728 and 62746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62728 and 62746, than apply into the LCM equation.

GCF(62728,62746) = 2
LCM(62728,62746) = ( 62728 × 62746) / 2
LCM(62728,62746) = 3935931088 / 2
LCM(62728,62746) = 1967965544

Least Common Multiple (LCM) of 62728 and 62746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62728 and 62746. First we will calculate the prime factors of 62728 and 62746.

Prime Factorization of 62728

Prime Factorization of 62746

Now multiplying the highest exponent prime factors to calculate the LCM of 62728 and 62746.

LCM(62728,62746) = 2³ × 7841¹ × 137¹ × 229¹
LCM(62728,62746) = 1967965544