What is the Least Common Multiple of 53280 and 53297?

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 53297 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 53297, than apply into the LCM equation.

GCF(53280,53297) = 1
LCM(53280,53297) = ( 53280 × 53297) / 1
LCM(53280,53297) = 2839664160 / 1
LCM(53280,53297) = 2839664160

Least Common Multiple (LCM) of 53280 and 53297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53280 and 53297. First we will calculate the prime factors of 53280 and 53297.

Prime Factorization of 53280

Prime Factorization of 53297

Now multiplying the highest exponent prime factors to calculate the LCM of 53280 and 53297.

LCM(53280,53297) = 2⁵ × 3² × 5¹ × 37¹ × 223¹ × 239¹
LCM(53280,53297) = 2839664160