What is the Least Common Multiple of 74263 and 74281?

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 74263 and 74281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74263 and 74281, than apply into the LCM equation.

GCF(74263,74281) = 1
LCM(74263,74281) = ( 74263 × 74281) / 1
LCM(74263,74281) = 5516329903 / 1
LCM(74263,74281) = 5516329903

Least Common Multiple (LCM) of 74263 and 74281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74263 and 74281. First we will calculate the prime factors of 74263 and 74281.

Prime Factorization of 74263

Prime Factorization of 74281

Now multiplying the highest exponent prime factors to calculate the LCM of 74263 and 74281.

LCM(74263,74281) = 7¹ × 103² × 59¹ × 1259¹
LCM(74263,74281) = 5516329903