What is the Least Common Multiple of 63112 and 63116?

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 63112 and 63116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63112 and 63116, than apply into the LCM equation.

GCF(63112,63116) = 4
LCM(63112,63116) = ( 63112 × 63116) / 4
LCM(63112,63116) = 3983376992 / 4
LCM(63112,63116) = 995844248

Least Common Multiple (LCM) of 63112 and 63116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63112 and 63116. First we will calculate the prime factors of 63112 and 63116.

Prime Factorization of 63112

Prime Factorization of 63116

Now multiplying the highest exponent prime factors to calculate the LCM of 63112 and 63116.

LCM(63112,63116) = 2³ × 7³ × 23¹ × 31¹ × 509¹
LCM(63112,63116) = 995844248