What is the Least Common Multiple of 25320 and 25331?

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 25320 and 25331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25320 and 25331, than apply into the LCM equation.

GCF(25320,25331) = 1
LCM(25320,25331) = ( 25320 × 25331) / 1
LCM(25320,25331) = 641380920 / 1
LCM(25320,25331) = 641380920

Least Common Multiple (LCM) of 25320 and 25331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25320 and 25331. First we will calculate the prime factors of 25320 and 25331.

Prime Factorization of 25320

Prime Factorization of 25331

Now multiplying the highest exponent prime factors to calculate the LCM of 25320 and 25331.

LCM(25320,25331) = 2³ × 3¹ × 5¹ × 211¹ × 73¹ × 347¹
LCM(25320,25331) = 641380920