What is the Least Common Multiple of 84288 and 84300?

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 84288 and 84300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84288 and 84300, than apply into the LCM equation.

GCF(84288,84300) = 12
LCM(84288,84300) = ( 84288 × 84300) / 12
LCM(84288,84300) = 7105478400 / 12
LCM(84288,84300) = 592123200

Least Common Multiple (LCM) of 84288 and 84300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84288 and 84300. First we will calculate the prime factors of 84288 and 84300.

Prime Factorization of 84288

Prime Factorization of 84300

Now multiplying the highest exponent prime factors to calculate the LCM of 84288 and 84300.

LCM(84288,84300) = 2⁶ × 3¹ × 439¹ × 5² × 281¹
LCM(84288,84300) = 592123200