What is the Least Common Multiple of 63354 and 63360?

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 63360 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 63360, than apply into the LCM equation.

GCF(63354,63360) = 6
LCM(63354,63360) = ( 63354 × 63360) / 6
LCM(63354,63360) = 4014109440 / 6
LCM(63354,63360) = 669018240

Least Common Multiple (LCM) of 63354 and 63360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63354 and 63360. First we will calculate the prime factors of 63354 and 63360.

Prime Factorization of 63354

Prime Factorization of 63360

Now multiplying the highest exponent prime factors to calculate the LCM of 63354 and 63360.

LCM(63354,63360) = 2⁷ × 3² × 10559¹ × 5¹ × 11¹
LCM(63354,63360) = 669018240