What is the Least Common Multiple of 9628 and 9640?

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 9628 and 9640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9628 and 9640, than apply into the LCM equation.

GCF(9628,9640) = 4
LCM(9628,9640) = ( 9628 × 9640) / 4
LCM(9628,9640) = 92813920 / 4
LCM(9628,9640) = 23203480

Least Common Multiple (LCM) of 9628 and 9640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9628 and 9640. First we will calculate the prime factors of 9628 and 9640.

Prime Factorization of 9628

Prime Factorization of 9640

Now multiplying the highest exponent prime factors to calculate the LCM of 9628 and 9640.

LCM(9628,9640) = 2³ × 29¹ × 83¹ × 5¹ × 241¹
LCM(9628,9640) = 23203480