What is the Least Common Multiple of 84700 and 84710?

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 84710 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 84710, than apply into the LCM equation.

GCF(84700,84710) = 10
LCM(84700,84710) = ( 84700 × 84710) / 10
LCM(84700,84710) = 7174937000 / 10
LCM(84700,84710) = 717493700

Least Common Multiple (LCM) of 84700 and 84710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84700 and 84710. First we will calculate the prime factors of 84700 and 84710.

Prime Factorization of 84700

Prime Factorization of 84710

Now multiplying the highest exponent prime factors to calculate the LCM of 84700 and 84710.

LCM(84700,84710) = 2² × 5² × 7¹ × 11² × 43¹ × 197¹
LCM(84700,84710) = 717493700