What is the Least Common Multiple of 84255 and 84260?

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 84255 and 84260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84255 and 84260, than apply into the LCM equation.

GCF(84255,84260) = 5
LCM(84255,84260) = ( 84255 × 84260) / 5
LCM(84255,84260) = 7099326300 / 5
LCM(84255,84260) = 1419865260

Least Common Multiple (LCM) of 84255 and 84260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84255 and 84260. First we will calculate the prime factors of 84255 and 84260.

Prime Factorization of 84255

Prime Factorization of 84260

Now multiplying the highest exponent prime factors to calculate the LCM of 84255 and 84260.

LCM(84255,84260) = 3¹ × 5¹ × 41¹ × 137¹ × 2² × 11¹ × 383¹
LCM(84255,84260) = 1419865260