What is the Least Common Multiple of 34288 and 34300?

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 34288 and 34300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34288 and 34300, than apply into the LCM equation.

GCF(34288,34300) = 4
LCM(34288,34300) = ( 34288 × 34300) / 4
LCM(34288,34300) = 1176078400 / 4
LCM(34288,34300) = 294019600

Least Common Multiple (LCM) of 34288 and 34300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34288 and 34300. First we will calculate the prime factors of 34288 and 34300.

Prime Factorization of 34288

Prime Factorization of 34300

Now multiplying the highest exponent prime factors to calculate the LCM of 34288 and 34300.

LCM(34288,34300) = 2⁴ × 2143¹ × 5² × 7³
LCM(34288,34300) = 294019600