What is the Least Common Multiple of 53280 and 53300?

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 53300 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 53300, than apply into the LCM equation.

GCF(53280,53300) = 20
LCM(53280,53300) = ( 53280 × 53300) / 20
LCM(53280,53300) = 2839824000 / 20
LCM(53280,53300) = 141991200

Least Common Multiple (LCM) of 53280 and 53300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53280 and 53300. First we will calculate the prime factors of 53280 and 53300.

Prime Factorization of 53280

Prime Factorization of 53300

Now multiplying the highest exponent prime factors to calculate the LCM of 53280 and 53300.

LCM(53280,53300) = 2⁵ × 3² × 5² × 37¹ × 13¹ × 41¹
LCM(53280,53300) = 141991200