What is the Least Common Multiple of 84210 and 84220?

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 84210 and 84220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84210 and 84220, than apply into the LCM equation.

GCF(84210,84220) = 10
LCM(84210,84220) = ( 84210 × 84220) / 10
LCM(84210,84220) = 7092166200 / 10
LCM(84210,84220) = 709216620

Least Common Multiple (LCM) of 84210 and 84220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84210 and 84220. First we will calculate the prime factors of 84210 and 84220.

Prime Factorization of 84210

Prime Factorization of 84220

Now multiplying the highest exponent prime factors to calculate the LCM of 84210 and 84220.

LCM(84210,84220) = 2² × 3¹ × 5¹ × 7¹ × 401¹ × 4211¹
LCM(84210,84220) = 709216620