What is the Least Common Multiple of 84538 and 84558?

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 84538 and 84558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84538 and 84558, than apply into the LCM equation.

GCF(84538,84558) = 2
LCM(84538,84558) = ( 84538 × 84558) / 2
LCM(84538,84558) = 7148364204 / 2
LCM(84538,84558) = 3574182102

Least Common Multiple (LCM) of 84538 and 84558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84538 and 84558. First we will calculate the prime factors of 84538 and 84558.

Prime Factorization of 84538

Prime Factorization of 84558

Now multiplying the highest exponent prime factors to calculate the LCM of 84538 and 84558.

LCM(84538,84558) = 2¹ × 43¹ × 983¹ × 3¹ × 17¹ × 829¹
LCM(84538,84558) = 3574182102