What is the Least Common Multiple of 63180 and 63190?

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 63190 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 63190, than apply into the LCM equation.

GCF(63180,63190) = 10
LCM(63180,63190) = ( 63180 × 63190) / 10
LCM(63180,63190) = 3992344200 / 10
LCM(63180,63190) = 399234420

Least Common Multiple (LCM) of 63180 and 63190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63180 and 63190. First we will calculate the prime factors of 63180 and 63190.

Prime Factorization of 63180

Prime Factorization of 63190

Now multiplying the highest exponent prime factors to calculate the LCM of 63180 and 63190.

LCM(63180,63190) = 2² × 3⁵ × 5¹ × 13¹ × 71¹ × 89¹
LCM(63180,63190) = 399234420