What is the Least Common Multiple of 25272 and 25281?

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 25272 and 25281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25272 and 25281, than apply into the LCM equation.

GCF(25272,25281) = 9
LCM(25272,25281) = ( 25272 × 25281) / 9
LCM(25272,25281) = 638901432 / 9
LCM(25272,25281) = 70989048

Least Common Multiple (LCM) of 25272 and 25281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25272 and 25281. First we will calculate the prime factors of 25272 and 25281.

Prime Factorization of 25272

Prime Factorization of 25281

Now multiplying the highest exponent prime factors to calculate the LCM of 25272 and 25281.

LCM(25272,25281) = 2³ × 3⁵ × 13¹ × 53²
LCM(25272,25281) = 70989048