What is the Least Common Multiple of 62096 and 62102?

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 62102 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 62102, than apply into the LCM equation.

GCF(62096,62102) = 2
LCM(62096,62102) = ( 62096 × 62102) / 2
LCM(62096,62102) = 3856285792 / 2
LCM(62096,62102) = 1928142896

Least Common Multiple (LCM) of 62096 and 62102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62096 and 62102. First we will calculate the prime factors of 62096 and 62102.

Prime Factorization of 62096

Prime Factorization of 62102

Now multiplying the highest exponent prime factors to calculate the LCM of 62096 and 62102.

LCM(62096,62102) = 2⁴ × 3881¹ × 31051¹
LCM(62096,62102) = 1928142896