What is the Least Common Multiple of 53300 and 53306?

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 53306 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 53306, than apply into the LCM equation.

GCF(53300,53306) = 2
LCM(53300,53306) = ( 53300 × 53306) / 2
LCM(53300,53306) = 2841209800 / 2
LCM(53300,53306) = 1420604900

Least Common Multiple (LCM) of 53300 and 53306 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53300 and 53306. First we will calculate the prime factors of 53300 and 53306.

Prime Factorization of 53300

Prime Factorization of 53306

Now multiplying the highest exponent prime factors to calculate the LCM of 53300 and 53306.

LCM(53300,53306) = 2² × 5² × 13¹ × 41¹ × 11¹ × 2423¹
LCM(53300,53306) = 1420604900