What is the Least Common Multiple of 25319 and 25337?

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 25319 and 25337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25319 and 25337, than apply into the LCM equation.

GCF(25319,25337) = 1
LCM(25319,25337) = ( 25319 × 25337) / 1
LCM(25319,25337) = 641507503 / 1
LCM(25319,25337) = 641507503

Least Common Multiple (LCM) of 25319 and 25337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25319 and 25337. First we will calculate the prime factors of 25319 and 25337.

Prime Factorization of 25319

Prime Factorization of 25337

Now multiplying the highest exponent prime factors to calculate the LCM of 25319 and 25337.

LCM(25319,25337) = 7¹ × 3617¹ × 13¹ × 1949¹
LCM(25319,25337) = 641507503