What is the Least Common Multiple of 47574 and 47593?

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 47574 and 47593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47574 and 47593, than apply into the LCM equation.

GCF(47574,47593) = 1
LCM(47574,47593) = ( 47574 × 47593) / 1
LCM(47574,47593) = 2264189382 / 1
LCM(47574,47593) = 2264189382

Least Common Multiple (LCM) of 47574 and 47593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47574 and 47593. First we will calculate the prime factors of 47574 and 47593.

Prime Factorization of 47574

Prime Factorization of 47593

Now multiplying the highest exponent prime factors to calculate the LCM of 47574 and 47593.

LCM(47574,47593) = 2¹ × 3³ × 881¹ × 7¹ × 13¹ × 523¹
LCM(47574,47593) = 2264189382