What is the Least Common Multiple of 35300 and 35312?

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 35300 and 35312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35300 and 35312, than apply into the LCM equation.

GCF(35300,35312) = 4
LCM(35300,35312) = ( 35300 × 35312) / 4
LCM(35300,35312) = 1246513600 / 4
LCM(35300,35312) = 311628400

Least Common Multiple (LCM) of 35300 and 35312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35300 and 35312. First we will calculate the prime factors of 35300 and 35312.

Prime Factorization of 35300

Prime Factorization of 35312

Now multiplying the highest exponent prime factors to calculate the LCM of 35300 and 35312.

LCM(35300,35312) = 2⁴ × 5² × 353¹ × 2207¹
LCM(35300,35312) = 311628400