What is the Least Common Multiple of 83546 and 83563?

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 83546 and 83563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83546 and 83563, than apply into the LCM equation.

GCF(83546,83563) = 1
LCM(83546,83563) = ( 83546 × 83563) / 1
LCM(83546,83563) = 6981354398 / 1
LCM(83546,83563) = 6981354398

Least Common Multiple (LCM) of 83546 and 83563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83546 and 83563. First we will calculate the prime factors of 83546 and 83563.

Prime Factorization of 83546

Prime Factorization of 83563

Now multiplying the highest exponent prime factors to calculate the LCM of 83546 and 83563.

LCM(83546,83563) = 2¹ × 37¹ × 1129¹ × 83563¹
LCM(83546,83563) = 6981354398