What is the Least Common Multiple of 23360 and 23378?

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 23378 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 23378, than apply into the LCM equation.

GCF(23360,23378) = 2
LCM(23360,23378) = ( 23360 × 23378) / 2
LCM(23360,23378) = 546110080 / 2
LCM(23360,23378) = 273055040

Least Common Multiple (LCM) of 23360 and 23378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23360 and 23378. First we will calculate the prime factors of 23360 and 23378.

Prime Factorization of 23360

Prime Factorization of 23378

Now multiplying the highest exponent prime factors to calculate the LCM of 23360 and 23378.

LCM(23360,23378) = 2⁶ × 5¹ × 73¹ × 11689¹
LCM(23360,23378) = 273055040