What is the Least Common Multiple of 53300 and 53310?

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 53300 and 53310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53300 and 53310, than apply into the LCM equation.

GCF(53300,53310) = 10
LCM(53300,53310) = ( 53300 × 53310) / 10
LCM(53300,53310) = 2841423000 / 10
LCM(53300,53310) = 284142300

Least Common Multiple (LCM) of 53300 and 53310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53300 and 53310. First we will calculate the prime factors of 53300 and 53310.

Prime Factorization of 53300

Prime Factorization of 53310

Now multiplying the highest exponent prime factors to calculate the LCM of 53300 and 53310.

LCM(53300,53310) = 2² × 5² × 13¹ × 41¹ × 3¹ × 1777¹
LCM(53300,53310) = 284142300