What is the Least Common Multiple of 62664 and 62669?

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 62664 and 62669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62664 and 62669, than apply into the LCM equation.

GCF(62664,62669) = 1
LCM(62664,62669) = ( 62664 × 62669) / 1
LCM(62664,62669) = 3927090216 / 1
LCM(62664,62669) = 3927090216

Least Common Multiple (LCM) of 62664 and 62669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62664 and 62669. First we will calculate the prime factors of 62664 and 62669.

Prime Factorization of 62664

Prime Factorization of 62669

Now multiplying the highest exponent prime factors to calculate the LCM of 62664 and 62669.

LCM(62664,62669) = 2³ × 3¹ × 7¹ × 373¹ × 29¹ × 2161¹
LCM(62664,62669) = 3927090216