What is the Least Common Multiple of 24160 and 24178?

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 24160 and 24178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24160 and 24178, than apply into the LCM equation.

GCF(24160,24178) = 2
LCM(24160,24178) = ( 24160 × 24178) / 2
LCM(24160,24178) = 584140480 / 2
LCM(24160,24178) = 292070240

Least Common Multiple (LCM) of 24160 and 24178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24160 and 24178. First we will calculate the prime factors of 24160 and 24178.

Prime Factorization of 24160

Prime Factorization of 24178

Now multiplying the highest exponent prime factors to calculate the LCM of 24160 and 24178.

LCM(24160,24178) = 2⁵ × 5¹ × 151¹ × 7¹ × 11¹ × 157¹
LCM(24160,24178) = 292070240