What is the Least Common Multiple of 51195 and 51203?

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 51195 and 51203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51195 and 51203, than apply into the LCM equation.

GCF(51195,51203) = 1
LCM(51195,51203) = ( 51195 × 51203) / 1
LCM(51195,51203) = 2621337585 / 1
LCM(51195,51203) = 2621337585

Least Common Multiple (LCM) of 51195 and 51203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51195 and 51203. First we will calculate the prime factors of 51195 and 51203.

Prime Factorization of 51195

Prime Factorization of 51203

Now multiplying the highest exponent prime factors to calculate the LCM of 51195 and 51203.

LCM(51195,51203) = 3¹ × 5¹ × 3413¹ × 51203¹
LCM(51195,51203) = 2621337585