What is the Least Common Multiple of 62872 and 62880?

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 62872 and 62880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62872 and 62880, than apply into the LCM equation.

GCF(62872,62880) = 8
LCM(62872,62880) = ( 62872 × 62880) / 8
LCM(62872,62880) = 3953391360 / 8
LCM(62872,62880) = 494173920

Least Common Multiple (LCM) of 62872 and 62880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62872 and 62880. First we will calculate the prime factors of 62872 and 62880.

Prime Factorization of 62872

Prime Factorization of 62880

Now multiplying the highest exponent prime factors to calculate the LCM of 62872 and 62880.

LCM(62872,62880) = 2⁵ × 29¹ × 271¹ × 3¹ × 5¹ × 131¹
LCM(62872,62880) = 494173920