What is the Least Common Multiple of 62728 and 62747?

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 62747 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 62747, than apply into the LCM equation.

GCF(62728,62747) = 1
LCM(62728,62747) = ( 62728 × 62747) / 1
LCM(62728,62747) = 3935993816 / 1
LCM(62728,62747) = 3935993816

Least Common Multiple (LCM) of 62728 and 62747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62728 and 62747. First we will calculate the prime factors of 62728 and 62747.

Prime Factorization of 62728

Prime Factorization of 62747

Now multiplying the highest exponent prime factors to calculate the LCM of 62728 and 62747.

LCM(62728,62747) = 2³ × 7841¹ × 17¹ × 3691¹
LCM(62728,62747) = 3935993816