What is the Least Common Multiple of 74148 and 74167?

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 74148 and 74167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74148 and 74167, than apply into the LCM equation.

GCF(74148,74167) = 1
LCM(74148,74167) = ( 74148 × 74167) / 1
LCM(74148,74167) = 5499334716 / 1
LCM(74148,74167) = 5499334716

Least Common Multiple (LCM) of 74148 and 74167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74148 and 74167. First we will calculate the prime factors of 74148 and 74167.

Prime Factorization of 74148

Prime Factorization of 74167

Now multiplying the highest exponent prime factors to calculate the LCM of 74148 and 74167.

LCM(74148,74167) = 2² × 3¹ × 37¹ × 167¹ × 74167¹
LCM(74148,74167) = 5499334716