What is the Least Common Multiple of 53280 and 53284?

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 53280 and 53284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53280 and 53284, than apply into the LCM equation.

GCF(53280,53284) = 4
LCM(53280,53284) = ( 53280 × 53284) / 4
LCM(53280,53284) = 2838971520 / 4
LCM(53280,53284) = 709742880

Least Common Multiple (LCM) of 53280 and 53284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53280 and 53284. First we will calculate the prime factors of 53280 and 53284.

Prime Factorization of 53280

Prime Factorization of 53284

Now multiplying the highest exponent prime factors to calculate the LCM of 53280 and 53284.

LCM(53280,53284) = 2⁵ × 3² × 5¹ × 37¹ × 7¹ × 11¹ × 173¹
LCM(53280,53284) = 709742880