What is the Least Common Multiple of 24160 and 24174?

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 24174 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 24174, than apply into the LCM equation.

GCF(24160,24174) = 2
LCM(24160,24174) = ( 24160 × 24174) / 2
LCM(24160,24174) = 584043840 / 2
LCM(24160,24174) = 292021920

Least Common Multiple (LCM) of 24160 and 24174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24160 and 24174. First we will calculate the prime factors of 24160 and 24174.

Prime Factorization of 24160

Prime Factorization of 24174

Now multiplying the highest exponent prime factors to calculate the LCM of 24160 and 24174.

LCM(24160,24174) = 2⁵ × 5¹ × 151¹ × 3² × 17¹ × 79¹
LCM(24160,24174) = 292021920