What is the Least Common Multiple of 84180 and 84200?

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 84180 and 84200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84180 and 84200, than apply into the LCM equation.

GCF(84180,84200) = 20
LCM(84180,84200) = ( 84180 × 84200) / 20
LCM(84180,84200) = 7087956000 / 20
LCM(84180,84200) = 354397800

Least Common Multiple (LCM) of 84180 and 84200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84180 and 84200. First we will calculate the prime factors of 84180 and 84200.

Prime Factorization of 84180

Prime Factorization of 84200

Now multiplying the highest exponent prime factors to calculate the LCM of 84180 and 84200.

LCM(84180,84200) = 2³ × 3¹ × 5² × 23¹ × 61¹ × 421¹
LCM(84180,84200) = 354397800