What is the Least Common Multiple of 84315 and 84333?

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 84315 and 84333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84315 and 84333, than apply into the LCM equation.

GCF(84315,84333) = 3
LCM(84315,84333) = ( 84315 × 84333) / 3
LCM(84315,84333) = 7110536895 / 3
LCM(84315,84333) = 2370178965

Least Common Multiple (LCM) of 84315 and 84333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84315 and 84333. First we will calculate the prime factors of 84315 and 84333.

Prime Factorization of 84315

Prime Factorization of 84333

Now multiplying the highest exponent prime factors to calculate the LCM of 84315 and 84333.

LCM(84315,84333) = 3¹ × 5¹ × 7¹ × 11¹ × 73¹ × 28111¹
LCM(84315,84333) = 2370178965