What is the Least Common Multiple of 40464 and 40470?

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 40464 and 40470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40464 and 40470, than apply into the LCM equation.

GCF(40464,40470) = 6
LCM(40464,40470) = ( 40464 × 40470) / 6
LCM(40464,40470) = 1637578080 / 6
LCM(40464,40470) = 272929680

Least Common Multiple (LCM) of 40464 and 40470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40464 and 40470. First we will calculate the prime factors of 40464 and 40470.

Prime Factorization of 40464

Prime Factorization of 40470

Now multiplying the highest exponent prime factors to calculate the LCM of 40464 and 40470.

LCM(40464,40470) = 2⁴ × 3² × 281¹ × 5¹ × 19¹ × 71¹
LCM(40464,40470) = 272929680