What is the Least Common Multiple of 23290 and 23310?

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 23290 and 23310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23290 and 23310, than apply into the LCM equation.

GCF(23290,23310) = 10
LCM(23290,23310) = ( 23290 × 23310) / 10
LCM(23290,23310) = 542889900 / 10
LCM(23290,23310) = 54288990

Least Common Multiple (LCM) of 23290 and 23310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23290 and 23310. First we will calculate the prime factors of 23290 and 23310.

Prime Factorization of 23290

Prime Factorization of 23310

Now multiplying the highest exponent prime factors to calculate the LCM of 23290 and 23310.

LCM(23290,23310) = 2¹ × 5¹ × 17¹ × 137¹ × 3² × 7¹ × 37¹
LCM(23290,23310) = 54288990