What is the Least Common Multiple of 83524 and 83544?

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 83544 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 83544, than apply into the LCM equation.

GCF(83524,83544) = 4
LCM(83524,83544) = ( 83524 × 83544) / 4
LCM(83524,83544) = 6977929056 / 4
LCM(83524,83544) = 1744482264

Least Common Multiple (LCM) of 83524 and 83544 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83524 and 83544. First we will calculate the prime factors of 83524 and 83544.

Prime Factorization of 83524

Prime Factorization of 83544

Now multiplying the highest exponent prime factors to calculate the LCM of 83524 and 83544.

LCM(83524,83544) = 2³ × 7¹ × 19¹ × 157¹ × 3¹ × 59²
LCM(83524,83544) = 1744482264