What is the Least Common Multiple of 29544 and 29564?

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 29544 and 29564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29544 and 29564, than apply into the LCM equation.

GCF(29544,29564) = 4
LCM(29544,29564) = ( 29544 × 29564) / 4
LCM(29544,29564) = 873438816 / 4
LCM(29544,29564) = 218359704

Least Common Multiple (LCM) of 29544 and 29564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29544 and 29564. First we will calculate the prime factors of 29544 and 29564.

Prime Factorization of 29544

Prime Factorization of 29564

Now multiplying the highest exponent prime factors to calculate the LCM of 29544 and 29564.

LCM(29544,29564) = 2³ × 3¹ × 1231¹ × 19¹ × 389¹
LCM(29544,29564) = 218359704