What is the Least Common Multiple of 62793 and 62797?

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 62793 and 62797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62793 and 62797, than apply into the LCM equation.

GCF(62793,62797) = 1
LCM(62793,62797) = ( 62793 × 62797) / 1
LCM(62793,62797) = 3943212021 / 1
LCM(62793,62797) = 3943212021

Least Common Multiple (LCM) of 62793 and 62797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62793 and 62797. First we will calculate the prime factors of 62793 and 62797.

Prime Factorization of 62793

Prime Factorization of 62797

Now multiplying the highest exponent prime factors to calculate the LCM of 62793 and 62797.

LCM(62793,62797) = 3² × 6977¹ × 7¹ × 8971¹
LCM(62793,62797) = 3943212021