What is the Least Common Multiple of 43546 and 43559?

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 43546 and 43559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43546 and 43559, than apply into the LCM equation.

GCF(43546,43559) = 1
LCM(43546,43559) = ( 43546 × 43559) / 1
LCM(43546,43559) = 1896820214 / 1
LCM(43546,43559) = 1896820214

Least Common Multiple (LCM) of 43546 and 43559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43546 and 43559. First we will calculate the prime factors of 43546 and 43559.

Prime Factorization of 43546

Prime Factorization of 43559

Now multiplying the highest exponent prime factors to calculate the LCM of 43546 and 43559.

LCM(43546,43559) = 2¹ × 21773¹ × 43¹ × 1013¹
LCM(43546,43559) = 1896820214