What is the Least Common Multiple of 84258 and 84267?

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 84258 and 84267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84258 and 84267, than apply into the LCM equation.

GCF(84258,84267) = 9
LCM(84258,84267) = ( 84258 × 84267) / 9
LCM(84258,84267) = 7100168886 / 9
LCM(84258,84267) = 788907654

Least Common Multiple (LCM) of 84258 and 84267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84258 and 84267. First we will calculate the prime factors of 84258 and 84267.

Prime Factorization of 84258

Prime Factorization of 84267

Now multiplying the highest exponent prime factors to calculate the LCM of 84258 and 84267.

LCM(84258,84267) = 2¹ × 3³ × 31¹ × 151¹ × 3121¹
LCM(84258,84267) = 788907654