What is the Least Common Multiple of 62279 and 62299?

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 62279 and 62299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62279 and 62299, than apply into the LCM equation.

GCF(62279,62299) = 1
LCM(62279,62299) = ( 62279 × 62299) / 1
LCM(62279,62299) = 3879919421 / 1
LCM(62279,62299) = 3879919421

Least Common Multiple (LCM) of 62279 and 62299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62279 and 62299. First we will calculate the prime factors of 62279 and 62299.

Prime Factorization of 62279

Prime Factorization of 62299

Now multiplying the highest exponent prime factors to calculate the LCM of 62279 and 62299.

LCM(62279,62299) = 7² × 31¹ × 41¹ × 62299¹
LCM(62279,62299) = 3879919421