What is the Least Common Multiple of 74443 and 74457?

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 74443 and 74457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74443 and 74457, than apply into the LCM equation.

GCF(74443,74457) = 1
LCM(74443,74457) = ( 74443 × 74457) / 1
LCM(74443,74457) = 5542802451 / 1
LCM(74443,74457) = 5542802451

Least Common Multiple (LCM) of 74443 and 74457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74443 and 74457. First we will calculate the prime factors of 74443 and 74457.

Prime Factorization of 74443

Prime Factorization of 74457

Now multiplying the highest exponent prime factors to calculate the LCM of 74443 and 74457.

LCM(74443,74457) = 17¹ × 29¹ × 151¹ × 3² × 8273¹
LCM(74443,74457) = 5542802451