What is the Least Common Multiple of 63468 and 63480?

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 63468 and 63480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63468 and 63480, than apply into the LCM equation.

GCF(63468,63480) = 12
LCM(63468,63480) = ( 63468 × 63480) / 12
LCM(63468,63480) = 4028948640 / 12
LCM(63468,63480) = 335745720

Least Common Multiple (LCM) of 63468 and 63480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63468 and 63480. First we will calculate the prime factors of 63468 and 63480.

Prime Factorization of 63468

Prime Factorization of 63480

Now multiplying the highest exponent prime factors to calculate the LCM of 63468 and 63480.

LCM(63468,63480) = 2³ × 3² × 41¹ × 43¹ × 5¹ × 23²
LCM(63468,63480) = 335745720