What is the Least Common Multiple of 62880 and 62885?

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 62880 and 62885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62880 and 62885, than apply into the LCM equation.

GCF(62880,62885) = 5
LCM(62880,62885) = ( 62880 × 62885) / 5
LCM(62880,62885) = 3954208800 / 5
LCM(62880,62885) = 790841760

Least Common Multiple (LCM) of 62880 and 62885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62880 and 62885. First we will calculate the prime factors of 62880 and 62885.

Prime Factorization of 62880

Prime Factorization of 62885

Now multiplying the highest exponent prime factors to calculate the LCM of 62880 and 62885.

LCM(62880,62885) = 2⁵ × 3¹ × 5¹ × 131¹ × 12577¹
LCM(62880,62885) = 790841760