What is the Least Common Multiple of 62339 and 62356?

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 62339 and 62356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62339 and 62356, than apply into the LCM equation.

GCF(62339,62356) = 17
LCM(62339,62356) = ( 62339 × 62356) / 17
LCM(62339,62356) = 3887210684 / 17
LCM(62339,62356) = 228659452

Least Common Multiple (LCM) of 62339 and 62356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62339 and 62356. First we will calculate the prime factors of 62339 and 62356.

Prime Factorization of 62339

Prime Factorization of 62356

Now multiplying the highest exponent prime factors to calculate the LCM of 62339 and 62356.

LCM(62339,62356) = 17¹ × 19¹ × 193¹ × 2² × 7¹ × 131¹
LCM(62339,62356) = 228659452