What is the Least Common Multiple of 17630 and 17640?

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 17630 and 17640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17630 and 17640, than apply into the LCM equation.

GCF(17630,17640) = 10
LCM(17630,17640) = ( 17630 × 17640) / 10
LCM(17630,17640) = 310993200 / 10
LCM(17630,17640) = 31099320

Least Common Multiple (LCM) of 17630 and 17640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17630 and 17640. First we will calculate the prime factors of 17630 and 17640.

Prime Factorization of 17630

Prime Factorization of 17640

Now multiplying the highest exponent prime factors to calculate the LCM of 17630 and 17640.

LCM(17630,17640) = 2³ × 5¹ × 41¹ × 43¹ × 3² × 7²
LCM(17630,17640) = 31099320