What is the Least Common Multiple of 84700 and 84705?

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 84705 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 84705, than apply into the LCM equation.

GCF(84700,84705) = 5
LCM(84700,84705) = ( 84700 × 84705) / 5
LCM(84700,84705) = 7174513500 / 5
LCM(84700,84705) = 1434902700

Least Common Multiple (LCM) of 84700 and 84705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84700 and 84705. First we will calculate the prime factors of 84700 and 84705.

Prime Factorization of 84700

Prime Factorization of 84705

Now multiplying the highest exponent prime factors to calculate the LCM of 84700 and 84705.

LCM(84700,84705) = 2² × 5² × 7¹ × 11² × 3¹ × 5647¹
LCM(84700,84705) = 1434902700