What is the Least Common Multiple of 62808 and 62818?

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 62808 and 62818 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62808 and 62818, than apply into the LCM equation.

GCF(62808,62818) = 2
LCM(62808,62818) = ( 62808 × 62818) / 2
LCM(62808,62818) = 3945472944 / 2
LCM(62808,62818) = 1972736472

Least Common Multiple (LCM) of 62808 and 62818 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62808 and 62818. First we will calculate the prime factors of 62808 and 62818.

Prime Factorization of 62808

Prime Factorization of 62818

Now multiplying the highest exponent prime factors to calculate the LCM of 62808 and 62818.

LCM(62808,62818) = 2³ × 3¹ × 2617¹ × 7² × 641¹
LCM(62808,62818) = 1972736472