What is the Least Common Multiple of 84264 and 84271?

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 84264 and 84271 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84264 and 84271, than apply into the LCM equation.

GCF(84264,84271) = 1
LCM(84264,84271) = ( 84264 × 84271) / 1
LCM(84264,84271) = 7101011544 / 1
LCM(84264,84271) = 7101011544

Least Common Multiple (LCM) of 84264 and 84271 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84264 and 84271. First we will calculate the prime factors of 84264 and 84271.

Prime Factorization of 84264

Prime Factorization of 84271

Now multiplying the highest exponent prime factors to calculate the LCM of 84264 and 84271.

LCM(84264,84271) = 2³ × 3¹ × 3511¹ × 11¹ × 47¹ × 163¹
LCM(84264,84271) = 7101011544