What is the Least Common Multiple of 52895 and 52903?

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 52895 and 52903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52895 and 52903, than apply into the LCM equation.

GCF(52895,52903) = 1
LCM(52895,52903) = ( 52895 × 52903) / 1
LCM(52895,52903) = 2798304185 / 1
LCM(52895,52903) = 2798304185

Least Common Multiple (LCM) of 52895 and 52903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52895 and 52903. First we will calculate the prime factors of 52895 and 52903.

Prime Factorization of 52895

Prime Factorization of 52903

Now multiplying the highest exponent prime factors to calculate the LCM of 52895 and 52903.

LCM(52895,52903) = 5¹ × 71¹ × 149¹ × 52903¹
LCM(52895,52903) = 2798304185