What is the Least Common Multiple of 74167 and 74173?

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 74167 and 74173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74167 and 74173, than apply into the LCM equation.

GCF(74167,74173) = 1
LCM(74167,74173) = ( 74167 × 74173) / 1
LCM(74167,74173) = 5501188891 / 1
LCM(74167,74173) = 5501188891

Least Common Multiple (LCM) of 74167 and 74173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74167 and 74173. First we will calculate the prime factors of 74167 and 74173.

Prime Factorization of 74167

Prime Factorization of 74173

Now multiplying the highest exponent prime factors to calculate the LCM of 74167 and 74173.

LCM(74167,74173) = 74167¹ × 11² × 613¹
LCM(74167,74173) = 5501188891