What is the Least Common Multiple of 84200 and 84218?

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 84200 and 84218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84200 and 84218, than apply into the LCM equation.

GCF(84200,84218) = 2
LCM(84200,84218) = ( 84200 × 84218) / 2
LCM(84200,84218) = 7091155600 / 2
LCM(84200,84218) = 3545577800

Least Common Multiple (LCM) of 84200 and 84218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84200 and 84218. First we will calculate the prime factors of 84200 and 84218.

Prime Factorization of 84200

Prime Factorization of 84218

Now multiplying the highest exponent prime factors to calculate the LCM of 84200 and 84218.

LCM(84200,84218) = 2³ × 5² × 421¹ × 17¹ × 2477¹
LCM(84200,84218) = 3545577800