What is the Least Common Multiple of 62268 and 62279?

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 62268 and 62279 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62268 and 62279, than apply into the LCM equation.

GCF(62268,62279) = 1
LCM(62268,62279) = ( 62268 × 62279) / 1
LCM(62268,62279) = 3877988772 / 1
LCM(62268,62279) = 3877988772

Least Common Multiple (LCM) of 62268 and 62279 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62268 and 62279. First we will calculate the prime factors of 62268 and 62279.

Prime Factorization of 62268

Prime Factorization of 62279

Now multiplying the highest exponent prime factors to calculate the LCM of 62268 and 62279.

LCM(62268,62279) = 2² × 3¹ × 5189¹ × 7² × 31¹ × 41¹
LCM(62268,62279) = 3877988772