What is the Least Common Multiple of 25320 and 25334?

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 25334 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 25334, than apply into the LCM equation.

GCF(25320,25334) = 2
LCM(25320,25334) = ( 25320 × 25334) / 2
LCM(25320,25334) = 641456880 / 2
LCM(25320,25334) = 320728440

Least Common Multiple (LCM) of 25320 and 25334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25320 and 25334. First we will calculate the prime factors of 25320 and 25334.

Prime Factorization of 25320

Prime Factorization of 25334

Now multiplying the highest exponent prime factors to calculate the LCM of 25320 and 25334.

LCM(25320,25334) = 2³ × 3¹ × 5¹ × 211¹ × 53¹ × 239¹
LCM(25320,25334) = 320728440