What is the Least Common Multiple of 63180 and 63193?

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 63193 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 63193, than apply into the LCM equation.

GCF(63180,63193) = 13
LCM(63180,63193) = ( 63180 × 63193) / 13
LCM(63180,63193) = 3992533740 / 13
LCM(63180,63193) = 307117980

Least Common Multiple (LCM) of 63180 and 63193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63180 and 63193. First we will calculate the prime factors of 63180 and 63193.

Prime Factorization of 63180

Prime Factorization of 63193

Now multiplying the highest exponent prime factors to calculate the LCM of 63180 and 63193.

LCM(63180,63193) = 2² × 3⁵ × 5¹ × 13¹ × 4861¹
LCM(63180,63193) = 307117980