What is the Least Common Multiple of 8430 and 8444?

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 8430 and 8444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8430 and 8444, than apply into the LCM equation.

GCF(8430,8444) = 2
LCM(8430,8444) = ( 8430 × 8444) / 2
LCM(8430,8444) = 71182920 / 2
LCM(8430,8444) = 35591460

Least Common Multiple (LCM) of 8430 and 8444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8430 and 8444. First we will calculate the prime factors of 8430 and 8444.

Prime Factorization of 8430

Prime Factorization of 8444

Now multiplying the highest exponent prime factors to calculate the LCM of 8430 and 8444.

LCM(8430,8444) = 2² × 3¹ × 5¹ × 281¹ × 2111¹
LCM(8430,8444) = 35591460