What is the Least Common Multiple of 68300 and 68312?

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 68300 and 68312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68300 and 68312, than apply into the LCM equation.

GCF(68300,68312) = 4
LCM(68300,68312) = ( 68300 × 68312) / 4
LCM(68300,68312) = 4665709600 / 4
LCM(68300,68312) = 1166427400

Least Common Multiple (LCM) of 68300 and 68312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68300 and 68312. First we will calculate the prime factors of 68300 and 68312.

Prime Factorization of 68300

Prime Factorization of 68312

Now multiplying the highest exponent prime factors to calculate the LCM of 68300 and 68312.

LCM(68300,68312) = 2³ × 5² × 683¹ × 8539¹
LCM(68300,68312) = 1166427400