What is the Least Common Multiple of 63872 and 63882?

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 63872 and 63882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63872 and 63882, than apply into the LCM equation.

GCF(63872,63882) = 2
LCM(63872,63882) = ( 63872 × 63882) / 2
LCM(63872,63882) = 4080271104 / 2
LCM(63872,63882) = 2040135552

Least Common Multiple (LCM) of 63872 and 63882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63872 and 63882. First we will calculate the prime factors of 63872 and 63882.

Prime Factorization of 63872

Prime Factorization of 63882

Now multiplying the highest exponent prime factors to calculate the LCM of 63872 and 63882.

LCM(63872,63882) = 2⁷ × 499¹ × 3³ × 7¹ × 13²
LCM(63872,63882) = 2040135552