What is the Least Common Multiple of 83524 and 83541?

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 83524 and 83541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83524 and 83541, than apply into the LCM equation.

GCF(83524,83541) = 1
LCM(83524,83541) = ( 83524 × 83541) / 1
LCM(83524,83541) = 6977678484 / 1
LCM(83524,83541) = 6977678484

Least Common Multiple (LCM) of 83524 and 83541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83524 and 83541. First we will calculate the prime factors of 83524 and 83541.

Prime Factorization of 83524

Prime Factorization of 83541

Now multiplying the highest exponent prime factors to calculate the LCM of 83524 and 83541.

LCM(83524,83541) = 2² × 7¹ × 19¹ × 157¹ × 3¹ × 27847¹
LCM(83524,83541) = 6977678484