What is the Least Common Multiple of 63416 and 63433?

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 63416 and 63433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63416 and 63433, than apply into the LCM equation.

GCF(63416,63433) = 1
LCM(63416,63433) = ( 63416 × 63433) / 1
LCM(63416,63433) = 4022667128 / 1
LCM(63416,63433) = 4022667128

Least Common Multiple (LCM) of 63416 and 63433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63416 and 63433. First we will calculate the prime factors of 63416 and 63433.

Prime Factorization of 63416

Prime Factorization of 63433

Now multiplying the highest exponent prime factors to calculate the LCM of 63416 and 63433.

LCM(63416,63433) = 2³ × 7927¹ × 229¹ × 277¹
LCM(63416,63433) = 4022667128