What is the Least Common Multiple of 84873 and 84888?

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 84873 and 84888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84873 and 84888, than apply into the LCM equation.

GCF(84873,84888) = 3
LCM(84873,84888) = ( 84873 × 84888) / 3
LCM(84873,84888) = 7204699224 / 3
LCM(84873,84888) = 2401566408

Least Common Multiple (LCM) of 84873 and 84888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84873 and 84888. First we will calculate the prime factors of 84873 and 84888.

Prime Factorization of 84873

Prime Factorization of 84888

Now multiplying the highest exponent prime factors to calculate the LCM of 84873 and 84888.

LCM(84873,84888) = 3⁴ × 19¹ × 1489¹ × 2³ × 131¹
LCM(84873,84888) = 2401566408