What is the Least Common Multiple of 23278 and 23283?

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 23278 and 23283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23278 and 23283, than apply into the LCM equation.

GCF(23278,23283) = 1
LCM(23278,23283) = ( 23278 × 23283) / 1
LCM(23278,23283) = 541981674 / 1
LCM(23278,23283) = 541981674

Least Common Multiple (LCM) of 23278 and 23283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23278 and 23283. First we will calculate the prime factors of 23278 and 23283.

Prime Factorization of 23278

Prime Factorization of 23283

Now multiplying the highest exponent prime factors to calculate the LCM of 23278 and 23283.

LCM(23278,23283) = 2¹ × 103¹ × 113¹ × 3² × 13¹ × 199¹
LCM(23278,23283) = 541981674