What is the Least Common Multiple of 31430 and 31445?

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 31430 and 31445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 31430 and 31445, than apply into the LCM equation.

GCF(31430,31445) = 5
LCM(31430,31445) = ( 31430 × 31445) / 5
LCM(31430,31445) = 988316350 / 5
LCM(31430,31445) = 197663270

Least Common Multiple (LCM) of 31430 and 31445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 31430 and 31445. First we will calculate the prime factors of 31430 and 31445.

Prime Factorization of 31430

Prime Factorization of 31445

Now multiplying the highest exponent prime factors to calculate the LCM of 31430 and 31445.

LCM(31430,31445) = 2¹ × 5¹ × 7¹ × 449¹ × 19¹ × 331¹
LCM(31430,31445) = 197663270