What is the Least Common Multiple of 63104 and 63112?

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 63104 and 63112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63104 and 63112, than apply into the LCM equation.

GCF(63104,63112) = 8
LCM(63104,63112) = ( 63104 × 63112) / 8
LCM(63104,63112) = 3982619648 / 8
LCM(63104,63112) = 497827456

Least Common Multiple (LCM) of 63104 and 63112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63104 and 63112. First we will calculate the prime factors of 63104 and 63112.

Prime Factorization of 63104

Prime Factorization of 63112

Now multiplying the highest exponent prime factors to calculate the LCM of 63104 and 63112.

LCM(63104,63112) = 2⁷ × 17¹ × 29¹ × 7³ × 23¹
LCM(63104,63112) = 497827456