What is the Least Common Multiple of 84457 and 84462?

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 84457 and 84462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84457 and 84462, than apply into the LCM equation.

GCF(84457,84462) = 1
LCM(84457,84462) = ( 84457 × 84462) / 1
LCM(84457,84462) = 7133407134 / 1
LCM(84457,84462) = 7133407134

Least Common Multiple (LCM) of 84457 and 84462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84457 and 84462. First we will calculate the prime factors of 84457 and 84462.

Prime Factorization of 84457

Prime Factorization of 84462

Now multiplying the highest exponent prime factors to calculate the LCM of 84457 and 84462.

LCM(84457,84462) = 84457¹ × 2¹ × 3¹ × 7¹ × 2011¹
LCM(84457,84462) = 7133407134