What is the Least Common Multiple of 24170 and 24176?

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 24170 and 24176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24170 and 24176, than apply into the LCM equation.

GCF(24170,24176) = 2
LCM(24170,24176) = ( 24170 × 24176) / 2
LCM(24170,24176) = 584333920 / 2
LCM(24170,24176) = 292166960

Least Common Multiple (LCM) of 24170 and 24176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24170 and 24176. First we will calculate the prime factors of 24170 and 24176.

Prime Factorization of 24170

Prime Factorization of 24176

Now multiplying the highest exponent prime factors to calculate the LCM of 24170 and 24176.

LCM(24170,24176) = 2⁴ × 5¹ × 2417¹ × 1511¹
LCM(24170,24176) = 292166960