What is the Least Common Multiple of 84538 and 84542?

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 84542 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 84542, than apply into the LCM equation.

GCF(84538,84542) = 2
LCM(84538,84542) = ( 84538 × 84542) / 2
LCM(84538,84542) = 7147011596 / 2
LCM(84538,84542) = 3573505798

Least Common Multiple (LCM) of 84538 and 84542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84538 and 84542. First we will calculate the prime factors of 84538 and 84542.

Prime Factorization of 84538

Prime Factorization of 84542

Now multiplying the highest exponent prime factors to calculate the LCM of 84538 and 84542.

LCM(84538,84542) = 2¹ × 43¹ × 983¹ × 41¹ × 1031¹
LCM(84538,84542) = 3573505798