What is the Least Common Multiple of 84150 and 84170?

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 84150 and 84170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84150 and 84170, than apply into the LCM equation.

GCF(84150,84170) = 10
LCM(84150,84170) = ( 84150 × 84170) / 10
LCM(84150,84170) = 7082905500 / 10
LCM(84150,84170) = 708290550

Least Common Multiple (LCM) of 84150 and 84170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84150 and 84170. First we will calculate the prime factors of 84150 and 84170.

Prime Factorization of 84150

Prime Factorization of 84170

Now multiplying the highest exponent prime factors to calculate the LCM of 84150 and 84170.

LCM(84150,84170) = 2¹ × 3² × 5² × 11¹ × 17¹ × 19¹ × 443¹
LCM(84150,84170) = 708290550