What is the Least Common Multiple of 63412 and 63432?

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 63412 and 63432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63412 and 63432, than apply into the LCM equation.

GCF(63412,63432) = 4
LCM(63412,63432) = ( 63412 × 63432) / 4
LCM(63412,63432) = 4022349984 / 4
LCM(63412,63432) = 1005587496

Least Common Multiple (LCM) of 63412 and 63432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63412 and 63432. First we will calculate the prime factors of 63412 and 63432.

Prime Factorization of 63412

Prime Factorization of 63432

Now multiplying the highest exponent prime factors to calculate the LCM of 63412 and 63432.

LCM(63412,63432) = 2³ × 83¹ × 191¹ × 3² × 881¹
LCM(63412,63432) = 1005587496