What is the Least Common Multiple of 84075 and 84090?

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 84075 and 84090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84075 and 84090, than apply into the LCM equation.

GCF(84075,84090) = 15
LCM(84075,84090) = ( 84075 × 84090) / 15
LCM(84075,84090) = 7069866750 / 15
LCM(84075,84090) = 471324450

Least Common Multiple (LCM) of 84075 and 84090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84075 and 84090. First we will calculate the prime factors of 84075 and 84090.

Prime Factorization of 84075

Prime Factorization of 84090

Now multiplying the highest exponent prime factors to calculate the LCM of 84075 and 84090.

LCM(84075,84090) = 3¹ × 5² × 19¹ × 59¹ × 2¹ × 2803¹
LCM(84075,84090) = 471324450