What is the Least Common Multiple of 74429 and 74441?

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 74429 and 74441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74429 and 74441, than apply into the LCM equation.

GCF(74429,74441) = 1
LCM(74429,74441) = ( 74429 × 74441) / 1
LCM(74429,74441) = 5540569189 / 1
LCM(74429,74441) = 5540569189

Least Common Multiple (LCM) of 74429 and 74441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74429 and 74441. First we will calculate the prime factors of 74429 and 74441.

Prime Factorization of 74429

Prime Factorization of 74441

Now multiplying the highest exponent prime factors to calculate the LCM of 74429 and 74441.

LCM(74429,74441) = 263¹ × 283¹ × 74441¹
LCM(74429,74441) = 5540569189