What is the Least Common Multiple of 23371 and 23384?

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 23371 and 23384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23371 and 23384, than apply into the LCM equation.

GCF(23371,23384) = 1
LCM(23371,23384) = ( 23371 × 23384) / 1
LCM(23371,23384) = 546507464 / 1
LCM(23371,23384) = 546507464

Least Common Multiple (LCM) of 23371 and 23384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23371 and 23384. First we will calculate the prime factors of 23371 and 23384.

Prime Factorization of 23371

Prime Factorization of 23384

Now multiplying the highest exponent prime factors to calculate the LCM of 23371 and 23384.

LCM(23371,23384) = 23371¹ × 2³ × 37¹ × 79¹
LCM(23371,23384) = 546507464