What is the Least Common Multiple of 63408 and 63412?

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 63412 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 63412, than apply into the LCM equation.

GCF(63408,63412) = 4
LCM(63408,63412) = ( 63408 × 63412) / 4
LCM(63408,63412) = 4020828096 / 4
LCM(63408,63412) = 1005207024

Least Common Multiple (LCM) of 63408 and 63412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63408 and 63412. First we will calculate the prime factors of 63408 and 63412.

Prime Factorization of 63408

Prime Factorization of 63412

Now multiplying the highest exponent prime factors to calculate the LCM of 63408 and 63412.

LCM(63408,63412) = 2⁴ × 3¹ × 1321¹ × 83¹ × 191¹
LCM(63408,63412) = 1005207024