What is the Least Common Multiple of 63432 and 63438?

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 63432 and 63438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63432 and 63438, than apply into the LCM equation.

GCF(63432,63438) = 6
LCM(63432,63438) = ( 63432 × 63438) / 6
LCM(63432,63438) = 4023999216 / 6
LCM(63432,63438) = 670666536

Least Common Multiple (LCM) of 63432 and 63438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63432 and 63438. First we will calculate the prime factors of 63432 and 63438.

Prime Factorization of 63432

Prime Factorization of 63438

Now multiplying the highest exponent prime factors to calculate the LCM of 63432 and 63438.

LCM(63432,63438) = 2³ × 3² × 881¹ × 97¹ × 109¹
LCM(63432,63438) = 670666536