What is the Least Common Multiple of 63354 and 63368?

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 63354 and 63368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63354 and 63368, than apply into the LCM equation.

GCF(63354,63368) = 2
LCM(63354,63368) = ( 63354 × 63368) / 2
LCM(63354,63368) = 4014616272 / 2
LCM(63354,63368) = 2007308136

Least Common Multiple (LCM) of 63354 and 63368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63354 and 63368. First we will calculate the prime factors of 63354 and 63368.

Prime Factorization of 63354

Prime Factorization of 63368

Now multiplying the highest exponent prime factors to calculate the LCM of 63354 and 63368.

LCM(63354,63368) = 2³ × 3¹ × 10559¹ × 89²
LCM(63354,63368) = 2007308136