What is the Least Common Multiple of 84123 and 84136?

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 84123 and 84136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84123 and 84136, than apply into the LCM equation.

GCF(84123,84136) = 13
LCM(84123,84136) = ( 84123 × 84136) / 13
LCM(84123,84136) = 7077772728 / 13
LCM(84123,84136) = 544444056

Least Common Multiple (LCM) of 84123 and 84136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84123 and 84136. First we will calculate the prime factors of 84123 and 84136.

Prime Factorization of 84123

Prime Factorization of 84136

Now multiplying the highest exponent prime factors to calculate the LCM of 84123 and 84136.

LCM(84123,84136) = 3² × 13¹ × 719¹ × 2³ × 809¹
LCM(84123,84136) = 544444056