What is the Least Common Multiple of 84420 and 84435?

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 84420 and 84435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84420 and 84435, than apply into the LCM equation.

GCF(84420,84435) = 15
LCM(84420,84435) = ( 84420 × 84435) / 15
LCM(84420,84435) = 7128002700 / 15
LCM(84420,84435) = 475200180

Least Common Multiple (LCM) of 84420 and 84435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84420 and 84435. First we will calculate the prime factors of 84420 and 84435.

Prime Factorization of 84420

Prime Factorization of 84435

Now multiplying the highest exponent prime factors to calculate the LCM of 84420 and 84435.

LCM(84420,84435) = 2² × 3² × 5¹ × 7¹ × 67¹ × 13¹ × 433¹
LCM(84420,84435) = 475200180