What is the Least Common Multiple of 84700 and 84720?

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 84720 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 84720, than apply into the LCM equation.

GCF(84700,84720) = 20
LCM(84700,84720) = ( 84700 × 84720) / 20
LCM(84700,84720) = 7175784000 / 20
LCM(84700,84720) = 358789200

Least Common Multiple (LCM) of 84700 and 84720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84700 and 84720. First we will calculate the prime factors of 84700 and 84720.

Prime Factorization of 84700

Prime Factorization of 84720

Now multiplying the highest exponent prime factors to calculate the LCM of 84700 and 84720.

LCM(84700,84720) = 2⁴ × 5² × 7¹ × 11² × 3¹ × 353¹
LCM(84700,84720) = 358789200