What is the Least Common Multiple of 23274 and 23289?

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 23274 and 23289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23274 and 23289, than apply into the LCM equation.

GCF(23274,23289) = 3
LCM(23274,23289) = ( 23274 × 23289) / 3
LCM(23274,23289) = 542028186 / 3
LCM(23274,23289) = 180676062

Least Common Multiple (LCM) of 23274 and 23289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23274 and 23289. First we will calculate the prime factors of 23274 and 23289.

Prime Factorization of 23274

Prime Factorization of 23289

Now multiplying the highest exponent prime factors to calculate the LCM of 23274 and 23289.

LCM(23274,23289) = 2¹ × 3³ × 431¹ × 7¹ × 1109¹
LCM(23274,23289) = 180676062