What is the Least Common Multiple of 52287 and 52291?

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 52287 and 52291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52287 and 52291, than apply into the LCM equation.

GCF(52287,52291) = 1
LCM(52287,52291) = ( 52287 × 52291) / 1
LCM(52287,52291) = 2734139517 / 1
LCM(52287,52291) = 2734139517

Least Common Multiple (LCM) of 52287 and 52291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52287 and 52291. First we will calculate the prime factors of 52287 and 52291.

Prime Factorization of 52287

Prime Factorization of 52291

Now multiplying the highest exponent prime factors to calculate the LCM of 52287 and 52291.

LCM(52287,52291) = 3¹ × 29¹ × 601¹ × 52291¹
LCM(52287,52291) = 2734139517