What is the Least Common Multiple of 47431 and 47445?

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 47431 and 47445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47431 and 47445, than apply into the LCM equation.

GCF(47431,47445) = 1
LCM(47431,47445) = ( 47431 × 47445) / 1
LCM(47431,47445) = 2250363795 / 1
LCM(47431,47445) = 2250363795

Least Common Multiple (LCM) of 47431 and 47445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47431 and 47445. First we will calculate the prime factors of 47431 and 47445.

Prime Factorization of 47431

Prime Factorization of 47445

Now multiplying the highest exponent prime factors to calculate the LCM of 47431 and 47445.

LCM(47431,47445) = 47431¹ × 3¹ × 5¹ × 3163¹
LCM(47431,47445) = 2250363795