What is the Least Common Multiple of 63408 and 63422?

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 63408 and 63422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63408 and 63422, than apply into the LCM equation.

GCF(63408,63422) = 2
LCM(63408,63422) = ( 63408 × 63422) / 2
LCM(63408,63422) = 4021462176 / 2
LCM(63408,63422) = 2010731088

Least Common Multiple (LCM) of 63408 and 63422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63408 and 63422. First we will calculate the prime factors of 63408 and 63422.

Prime Factorization of 63408

Prime Factorization of 63422

Now multiplying the highest exponent prime factors to calculate the LCM of 63408 and 63422.

LCM(63408,63422) = 2⁴ × 3¹ × 1321¹ × 19¹ × 1669¹
LCM(63408,63422) = 2010731088