What is the Least Common Multiple of 23254 and 23274?

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 23254 and 23274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23254 and 23274, than apply into the LCM equation.

GCF(23254,23274) = 2
LCM(23254,23274) = ( 23254 × 23274) / 2
LCM(23254,23274) = 541213596 / 2
LCM(23254,23274) = 270606798

Least Common Multiple (LCM) of 23254 and 23274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23254 and 23274. First we will calculate the prime factors of 23254 and 23274.

Prime Factorization of 23254

Prime Factorization of 23274

Now multiplying the highest exponent prime factors to calculate the LCM of 23254 and 23274.

LCM(23254,23274) = 2¹ × 7¹ × 11¹ × 151¹ × 3³ × 431¹
LCM(23254,23274) = 270606798