What is the Least Common Multiple of 43574 and 43585?

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 43574 and 43585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43574 and 43585, than apply into the LCM equation.

GCF(43574,43585) = 1
LCM(43574,43585) = ( 43574 × 43585) / 1
LCM(43574,43585) = 1899172790 / 1
LCM(43574,43585) = 1899172790

Least Common Multiple (LCM) of 43574 and 43585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43574 and 43585. First we will calculate the prime factors of 43574 and 43585.

Prime Factorization of 43574

Prime Factorization of 43585

Now multiplying the highest exponent prime factors to calculate the LCM of 43574 and 43585.

LCM(43574,43585) = 2¹ × 21787¹ × 5¹ × 23¹ × 379¹
LCM(43574,43585) = 1899172790