What is the Least Common Multiple of 74143 and 74163?

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 74143 and 74163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74143 and 74163, than apply into the LCM equation.

GCF(74143,74163) = 1
LCM(74143,74163) = ( 74143 × 74163) / 1
LCM(74143,74163) = 5498667309 / 1
LCM(74143,74163) = 5498667309

Least Common Multiple (LCM) of 74143 and 74163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74143 and 74163. First we will calculate the prime factors of 74143 and 74163.

Prime Factorization of 74143

Prime Factorization of 74163

Now multiplying the highest exponent prime factors to calculate the LCM of 74143 and 74163.

LCM(74143,74163) = 74143¹ × 3¹ × 59¹ × 419¹
LCM(74143,74163) = 5498667309