What is the Least Common Multiple of 62379 and 62397?

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 62379 and 62397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62379 and 62397, than apply into the LCM equation.

GCF(62379,62397) = 9
LCM(62379,62397) = ( 62379 × 62397) / 9
LCM(62379,62397) = 3892262463 / 9
LCM(62379,62397) = 432473607

Least Common Multiple (LCM) of 62379 and 62397 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62379 and 62397. First we will calculate the prime factors of 62379 and 62397.

Prime Factorization of 62379

Prime Factorization of 62397

Now multiplying the highest exponent prime factors to calculate the LCM of 62379 and 62397.

LCM(62379,62397) = 3³ × 29¹ × 239¹ × 2311¹
LCM(62379,62397) = 432473607