What is the Least Common Multiple of 52403 and 52407?

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 52403 and 52407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52403 and 52407, than apply into the LCM equation.

GCF(52403,52407) = 1
LCM(52403,52407) = ( 52403 × 52407) / 1
LCM(52403,52407) = 2746284021 / 1
LCM(52403,52407) = 2746284021

Least Common Multiple (LCM) of 52403 and 52407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52403 and 52407. First we will calculate the prime factors of 52403 and 52407.

Prime Factorization of 52403

Prime Factorization of 52407

Now multiplying the highest exponent prime factors to calculate the LCM of 52403 and 52407.

LCM(52403,52407) = 13¹ × 29¹ × 139¹ × 3⁴ × 647¹
LCM(52403,52407) = 2746284021