What is the Least Common Multiple of 84124 and 84140?

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 84124 and 84140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84124 and 84140, than apply into the LCM equation.

GCF(84124,84140) = 4
LCM(84124,84140) = ( 84124 × 84140) / 4
LCM(84124,84140) = 7078193360 / 4
LCM(84124,84140) = 1769548340

Least Common Multiple (LCM) of 84124 and 84140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84124 and 84140. First we will calculate the prime factors of 84124 and 84140.

Prime Factorization of 84124

Prime Factorization of 84140

Now multiplying the highest exponent prime factors to calculate the LCM of 84124 and 84140.

LCM(84124,84140) = 2² × 21031¹ × 5¹ × 7¹ × 601¹
LCM(84124,84140) = 1769548340