What is the Least Common Multiple of 84170 and 84190?

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 84170 and 84190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84170 and 84190, than apply into the LCM equation.

GCF(84170,84190) = 10
LCM(84170,84190) = ( 84170 × 84190) / 10
LCM(84170,84190) = 7086272300 / 10
LCM(84170,84190) = 708627230

Least Common Multiple (LCM) of 84170 and 84190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84170 and 84190. First we will calculate the prime factors of 84170 and 84190.

Prime Factorization of 84170

Prime Factorization of 84190

Now multiplying the highest exponent prime factors to calculate the LCM of 84170 and 84190.

LCM(84170,84190) = 2¹ × 5¹ × 19¹ × 443¹ × 8419¹
LCM(84170,84190) = 708627230