What is the Least Common Multiple of 30360 and 30366?

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 30360 and 30366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30360 and 30366, than apply into the LCM equation.

GCF(30360,30366) = 6
LCM(30360,30366) = ( 30360 × 30366) / 6
LCM(30360,30366) = 921911760 / 6
LCM(30360,30366) = 153651960

Least Common Multiple (LCM) of 30360 and 30366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30360 and 30366. First we will calculate the prime factors of 30360 and 30366.

Prime Factorization of 30360

Prime Factorization of 30366

Now multiplying the highest exponent prime factors to calculate the LCM of 30360 and 30366.

LCM(30360,30366) = 2³ × 3² × 5¹ × 11¹ × 23¹ × 7¹ × 241¹
LCM(30360,30366) = 153651960