What is the Least Common Multiple of 83523 and 83543?

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 83523 and 83543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83523 and 83543, than apply into the LCM equation.

GCF(83523,83543) = 1
LCM(83523,83543) = ( 83523 × 83543) / 1
LCM(83523,83543) = 6977761989 / 1
LCM(83523,83543) = 6977761989

Least Common Multiple (LCM) of 83523 and 83543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83523 and 83543. First we will calculate the prime factors of 83523 and 83543.

Prime Factorization of 83523

Prime Factorization of 83543

Now multiplying the highest exponent prime factors to calculate the LCM of 83523 and 83543.

LCM(83523,83543) = 3¹ × 11¹ × 2531¹ × 19¹ × 4397¹
LCM(83523,83543) = 6977761989