What is the Least Common Multiple of 84300 and 84314?

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 84300 and 84314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84300 and 84314, than apply into the LCM equation.

GCF(84300,84314) = 2
LCM(84300,84314) = ( 84300 × 84314) / 2
LCM(84300,84314) = 7107670200 / 2
LCM(84300,84314) = 3553835100

Least Common Multiple (LCM) of 84300 and 84314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84300 and 84314. First we will calculate the prime factors of 84300 and 84314.

Prime Factorization of 84300

Prime Factorization of 84314

Now multiplying the highest exponent prime factors to calculate the LCM of 84300 and 84314.

LCM(84300,84314) = 2² × 3¹ × 5² × 281¹ × 42157¹
LCM(84300,84314) = 3553835100