What is the Least Common Multiple of 74160 and 74168?

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 74160 and 74168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74160 and 74168, than apply into the LCM equation.

GCF(74160,74168) = 8
LCM(74160,74168) = ( 74160 × 74168) / 8
LCM(74160,74168) = 5500298880 / 8
LCM(74160,74168) = 687537360

Least Common Multiple (LCM) of 74160 and 74168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74160 and 74168. First we will calculate the prime factors of 74160 and 74168.

Prime Factorization of 74160

Prime Factorization of 74168

Now multiplying the highest exponent prime factors to calculate the LCM of 74160 and 74168.

LCM(74160,74168) = 2⁴ × 3² × 5¹ × 103¹ × 73¹ × 127¹
LCM(74160,74168) = 687537360