What is the Least Common Multiple of 63180 and 63184?

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 63180 and 63184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63180 and 63184, than apply into the LCM equation.

GCF(63180,63184) = 4
LCM(63180,63184) = ( 63180 × 63184) / 4
LCM(63180,63184) = 3991965120 / 4
LCM(63180,63184) = 997991280

Least Common Multiple (LCM) of 63180 and 63184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63180 and 63184. First we will calculate the prime factors of 63180 and 63184.

Prime Factorization of 63180

Prime Factorization of 63184

Now multiplying the highest exponent prime factors to calculate the LCM of 63180 and 63184.

LCM(63180,63184) = 2⁴ × 3⁵ × 5¹ × 13¹ × 11¹ × 359¹
LCM(63180,63184) = 997991280