What is the Least Common Multiple of 62880 and 62891?

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 62891 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 62891, than apply into the LCM equation.

GCF(62880,62891) = 1
LCM(62880,62891) = ( 62880 × 62891) / 1
LCM(62880,62891) = 3954586080 / 1
LCM(62880,62891) = 3954586080

Least Common Multiple (LCM) of 62880 and 62891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62880 and 62891. First we will calculate the prime factors of 62880 and 62891.

Prime Factorization of 62880

Prime Factorization of 62891

Now multiplying the highest exponent prime factors to calculate the LCM of 62880 and 62891.

LCM(62880,62891) = 2⁵ × 3¹ × 5¹ × 131¹ × 61¹ × 1031¹
LCM(62880,62891) = 3954586080