What is the Least Common Multiple of 29520 and 29524?

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 29520 and 29524 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29520 and 29524, than apply into the LCM equation.

GCF(29520,29524) = 4
LCM(29520,29524) = ( 29520 × 29524) / 4
LCM(29520,29524) = 871548480 / 4
LCM(29520,29524) = 217887120

Least Common Multiple (LCM) of 29520 and 29524 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29520 and 29524. First we will calculate the prime factors of 29520 and 29524.

Prime Factorization of 29520

Prime Factorization of 29524

Now multiplying the highest exponent prime factors to calculate the LCM of 29520 and 29524.

LCM(29520,29524) = 2⁴ × 3² × 5¹ × 41¹ × 11² × 61¹
LCM(29520,29524) = 217887120