What is the Least Common Multiple of 84192 and 84210?

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 84192 and 84210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84192 and 84210, than apply into the LCM equation.

GCF(84192,84210) = 6
LCM(84192,84210) = ( 84192 × 84210) / 6
LCM(84192,84210) = 7089808320 / 6
LCM(84192,84210) = 1181634720

Least Common Multiple (LCM) of 84192 and 84210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84192 and 84210. First we will calculate the prime factors of 84192 and 84210.

Prime Factorization of 84192

Prime Factorization of 84210

Now multiplying the highest exponent prime factors to calculate the LCM of 84192 and 84210.

LCM(84192,84210) = 2⁵ × 3¹ × 877¹ × 5¹ × 7¹ × 401¹
LCM(84192,84210) = 1181634720