What is the Least Common Multiple of 74543 and 74548?

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 74543 and 74548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74543 and 74548, than apply into the LCM equation.

GCF(74543,74548) = 1
LCM(74543,74548) = ( 74543 × 74548) / 1
LCM(74543,74548) = 5557031564 / 1
LCM(74543,74548) = 5557031564

Least Common Multiple (LCM) of 74543 and 74548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74543 and 74548. First we will calculate the prime factors of 74543 and 74548.

Prime Factorization of 74543

Prime Factorization of 74548

Now multiplying the highest exponent prime factors to calculate the LCM of 74543 and 74548.

LCM(74543,74548) = 7¹ × 23¹ × 463¹ × 2² × 18637¹
LCM(74543,74548) = 5557031564