What is the Least Common Multiple of 63360 and 63367?

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 63360 and 63367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63360 and 63367, than apply into the LCM equation.

GCF(63360,63367) = 1
LCM(63360,63367) = ( 63360 × 63367) / 1
LCM(63360,63367) = 4014933120 / 1
LCM(63360,63367) = 4014933120

Least Common Multiple (LCM) of 63360 and 63367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63360 and 63367. First we will calculate the prime factors of 63360 and 63367.

Prime Factorization of 63360

Prime Factorization of 63367

Now multiplying the highest exponent prime factors to calculate the LCM of 63360 and 63367.

LCM(63360,63367) = 2⁷ × 3² × 5¹ × 11¹ × 63367¹
LCM(63360,63367) = 4014933120