What is the Least Common Multiple of 62096 and 62116?

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 62096 and 62116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62096 and 62116, than apply into the LCM equation.

GCF(62096,62116) = 4
LCM(62096,62116) = ( 62096 × 62116) / 4
LCM(62096,62116) = 3857155136 / 4
LCM(62096,62116) = 964288784

Least Common Multiple (LCM) of 62096 and 62116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62096 and 62116. First we will calculate the prime factors of 62096 and 62116.

Prime Factorization of 62096

Prime Factorization of 62116

Now multiplying the highest exponent prime factors to calculate the LCM of 62096 and 62116.

LCM(62096,62116) = 2⁴ × 3881¹ × 53¹ × 293¹
LCM(62096,62116) = 964288784