What is the Least Common Multiple of 84477 and 84494?

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 84477 and 84494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84477 and 84494, than apply into the LCM equation.

GCF(84477,84494) = 1
LCM(84477,84494) = ( 84477 × 84494) / 1
LCM(84477,84494) = 7137799638 / 1
LCM(84477,84494) = 7137799638

Least Common Multiple (LCM) of 84477 and 84494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84477 and 84494. First we will calculate the prime factors of 84477 and 84494.

Prime Factorization of 84477

Prime Factorization of 84494

Now multiplying the highest exponent prime factors to calculate the LCM of 84477 and 84494.

LCM(84477,84494) = 3¹ × 29¹ × 971¹ × 2¹ × 83¹ × 509¹
LCM(84477,84494) = 7137799638