What is the Least Common Multiple of 23360 and 23379?

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 23360 and 23379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23360 and 23379, than apply into the LCM equation.

GCF(23360,23379) = 1
LCM(23360,23379) = ( 23360 × 23379) / 1
LCM(23360,23379) = 546133440 / 1
LCM(23360,23379) = 546133440

Least Common Multiple (LCM) of 23360 and 23379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23360 and 23379. First we will calculate the prime factors of 23360 and 23379.

Prime Factorization of 23360

Prime Factorization of 23379

Now multiplying the highest exponent prime factors to calculate the LCM of 23360 and 23379.

LCM(23360,23379) = 2⁶ × 5¹ × 73¹ × 3¹ × 7793¹
LCM(23360,23379) = 546133440