What is the Least Common Multiple of 30312 and 30316?

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 30312 and 30316 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30312 and 30316, than apply into the LCM equation.

GCF(30312,30316) = 4
LCM(30312,30316) = ( 30312 × 30316) / 4
LCM(30312,30316) = 918938592 / 4
LCM(30312,30316) = 229734648

Least Common Multiple (LCM) of 30312 and 30316 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30312 and 30316. First we will calculate the prime factors of 30312 and 30316.

Prime Factorization of 30312

Prime Factorization of 30316

Now multiplying the highest exponent prime factors to calculate the LCM of 30312 and 30316.

LCM(30312,30316) = 2³ × 3² × 421¹ × 11¹ × 13¹ × 53¹
LCM(30312,30316) = 229734648