What is the Least Common Multiple of 62896 and 62910?

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 62896 and 62910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62896 and 62910, than apply into the LCM equation.

GCF(62896,62910) = 2
LCM(62896,62910) = ( 62896 × 62910) / 2
LCM(62896,62910) = 3956787360 / 2
LCM(62896,62910) = 1978393680

Least Common Multiple (LCM) of 62896 and 62910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62896 and 62910. First we will calculate the prime factors of 62896 and 62910.

Prime Factorization of 62896

Prime Factorization of 62910

Now multiplying the highest exponent prime factors to calculate the LCM of 62896 and 62910.

LCM(62896,62910) = 2⁴ × 3931¹ × 3³ × 5¹ × 233¹
LCM(62896,62910) = 1978393680