What is the Least Common Multiple of 62880 and 62896?

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 62896 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 62896, than apply into the LCM equation.

GCF(62880,62896) = 16
LCM(62880,62896) = ( 62880 × 62896) / 16
LCM(62880,62896) = 3954900480 / 16
LCM(62880,62896) = 247181280

Least Common Multiple (LCM) of 62880 and 62896 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62880 and 62896. First we will calculate the prime factors of 62880 and 62896.

Prime Factorization of 62880

Prime Factorization of 62896

Now multiplying the highest exponent prime factors to calculate the LCM of 62880 and 62896.

LCM(62880,62896) = 2⁵ × 3¹ × 5¹ × 131¹ × 3931¹
LCM(62880,62896) = 247181280