What is the Least Common Multiple of 63408 and 63421?

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 63421 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 63421, than apply into the LCM equation.

GCF(63408,63421) = 1
LCM(63408,63421) = ( 63408 × 63421) / 1
LCM(63408,63421) = 4021398768 / 1
LCM(63408,63421) = 4021398768

Least Common Multiple (LCM) of 63408 and 63421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63408 and 63421. First we will calculate the prime factors of 63408 and 63421.

Prime Factorization of 63408

Prime Factorization of 63421

Now multiplying the highest exponent prime factors to calculate the LCM of 63408 and 63421.

LCM(63408,63421) = 2⁴ × 3¹ × 1321¹ × 63421¹
LCM(63408,63421) = 4021398768