What is the Least Common Multiple of 24164 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 24164 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 24164 and 24176, than apply into the LCM equation.

GCF(24164,24176) = 4
LCM(24164,24176) = ( 24164 × 24176) / 4
LCM(24164,24176) = 584188864 / 4
LCM(24164,24176) = 146047216

Least Common Multiple (LCM) of 24164 and 24176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24164 and 24176. First we will calculate the prime factors of 24164 and 24176.

Prime Factorization of 24164

Prime Factorization of 24176

Now multiplying the highest exponent prime factors to calculate the LCM of 24164 and 24176.

LCM(24164,24176) = 2⁴ × 7¹ × 863¹ × 1511¹
LCM(24164,24176) = 146047216