What is the Least Common Multiple of 62808 and 62814?

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 62814 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 62814, than apply into the LCM equation.

GCF(62808,62814) = 6
LCM(62808,62814) = ( 62808 × 62814) / 6
LCM(62808,62814) = 3945221712 / 6
LCM(62808,62814) = 657536952

Least Common Multiple (LCM) of 62808 and 62814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62808 and 62814. First we will calculate the prime factors of 62808 and 62814.

Prime Factorization of 62808

Prime Factorization of 62814

Now multiplying the highest exponent prime factors to calculate the LCM of 62808 and 62814.

LCM(62808,62814) = 2³ × 3¹ × 2617¹ × 19² × 29¹
LCM(62808,62814) = 657536952