What is the Least Common Multiple of 4300 and 4309?

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 4300 and 4309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4300 and 4309, than apply into the LCM equation.

GCF(4300,4309) = 1
LCM(4300,4309) = ( 4300 × 4309) / 1
LCM(4300,4309) = 18528700 / 1
LCM(4300,4309) = 18528700

Least Common Multiple (LCM) of 4300 and 4309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4300 and 4309. First we will calculate the prime factors of 4300 and 4309.

Prime Factorization of 4300

Prime Factorization of 4309

Now multiplying the highest exponent prime factors to calculate the LCM of 4300 and 4309.

LCM(4300,4309) = 2² × 5² × 43¹ × 31¹ × 139¹
LCM(4300,4309) = 18528700