What is the Least Common Multiple of 23160 and 23170?

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 23160 and 23170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23160 and 23170, than apply into the LCM equation.

GCF(23160,23170) = 10
LCM(23160,23170) = ( 23160 × 23170) / 10
LCM(23160,23170) = 536617200 / 10
LCM(23160,23170) = 53661720

Least Common Multiple (LCM) of 23160 and 23170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23160 and 23170. First we will calculate the prime factors of 23160 and 23170.

Prime Factorization of 23160

Prime Factorization of 23170

Now multiplying the highest exponent prime factors to calculate the LCM of 23160 and 23170.

LCM(23160,23170) = 2³ × 3¹ × 5¹ × 193¹ × 7¹ × 331¹
LCM(23160,23170) = 53661720