What is the Least Common Multiple of 62331 and 62339?

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 62331 and 62339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62331 and 62339, than apply into the LCM equation.

GCF(62331,62339) = 1
LCM(62331,62339) = ( 62331 × 62339) / 1
LCM(62331,62339) = 3885652209 / 1
LCM(62331,62339) = 3885652209

Least Common Multiple (LCM) of 62331 and 62339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62331 and 62339. First we will calculate the prime factors of 62331 and 62339.

Prime Factorization of 62331

Prime Factorization of 62339

Now multiplying the highest exponent prime factors to calculate the LCM of 62331 and 62339.

LCM(62331,62339) = 3¹ × 79¹ × 263¹ × 17¹ × 19¹ × 193¹
LCM(62331,62339) = 3885652209