What is the Least Common Multiple of 84700 and 84706?

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 84700 and 84706 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84700 and 84706, than apply into the LCM equation.

GCF(84700,84706) = 2
LCM(84700,84706) = ( 84700 × 84706) / 2
LCM(84700,84706) = 7174598200 / 2
LCM(84700,84706) = 3587299100

Least Common Multiple (LCM) of 84700 and 84706 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84700 and 84706. First we will calculate the prime factors of 84700 and 84706.

Prime Factorization of 84700

Prime Factorization of 84706

Now multiplying the highest exponent prime factors to calculate the LCM of 84700 and 84706.

LCM(84700,84706) = 2² × 5² × 7¹ × 11² × 41¹ × 1033¹
LCM(84700,84706) = 3587299100