What is the Least Common Multiple of 74129 and 74143?

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 74129 and 74143 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74129 and 74143, than apply into the LCM equation.

GCF(74129,74143) = 1
LCM(74129,74143) = ( 74129 × 74143) / 1
LCM(74129,74143) = 5496146447 / 1
LCM(74129,74143) = 5496146447

Least Common Multiple (LCM) of 74129 and 74143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74129 and 74143. First we will calculate the prime factors of 74129 and 74143.

Prime Factorization of 74129

Prime Factorization of 74143

Now multiplying the highest exponent prime factors to calculate the LCM of 74129 and 74143.

LCM(74129,74143) = 11¹ × 23¹ × 293¹ × 74143¹
LCM(74129,74143) = 5496146447