What is the Least Common Multiple of 84243 and 84258?

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 84243 and 84258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84243 and 84258, than apply into the LCM equation.

GCF(84243,84258) = 3
LCM(84243,84258) = ( 84243 × 84258) / 3
LCM(84243,84258) = 7098146694 / 3
LCM(84243,84258) = 2366048898

Least Common Multiple (LCM) of 84243 and 84258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84243 and 84258. First we will calculate the prime factors of 84243 and 84258.

Prime Factorization of 84243

Prime Factorization of 84258

Now multiplying the highest exponent prime factors to calculate the LCM of 84243 and 84258.

LCM(84243,84258) = 3² × 28081¹ × 2¹ × 31¹ × 151¹
LCM(84243,84258) = 2366048898