What is the Least Common Multiple of 61191 and 61203?

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 61191 and 61203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61191 and 61203, than apply into the LCM equation.

GCF(61191,61203) = 3
LCM(61191,61203) = ( 61191 × 61203) / 3
LCM(61191,61203) = 3745072773 / 3
LCM(61191,61203) = 1248357591

Least Common Multiple (LCM) of 61191 and 61203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61191 and 61203. First we will calculate the prime factors of 61191 and 61203.

Prime Factorization of 61191

Prime Factorization of 61203

Now multiplying the highest exponent prime factors to calculate the LCM of 61191 and 61203.

LCM(61191,61203) = 3² × 13¹ × 523¹ × 23¹ × 887¹
LCM(61191,61203) = 1248357591