What is the Least Common Multiple of 84435 and 84450?

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 84435 and 84450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84435 and 84450, than apply into the LCM equation.

GCF(84435,84450) = 15
LCM(84435,84450) = ( 84435 × 84450) / 15
LCM(84435,84450) = 7130535750 / 15
LCM(84435,84450) = 475369050

Least Common Multiple (LCM) of 84435 and 84450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84435 and 84450. First we will calculate the prime factors of 84435 and 84450.

Prime Factorization of 84435

Prime Factorization of 84450

Now multiplying the highest exponent prime factors to calculate the LCM of 84435 and 84450.

LCM(84435,84450) = 3¹ × 5² × 13¹ × 433¹ × 2¹ × 563¹
LCM(84435,84450) = 475369050