What is the Least Common Multiple of 53193 and 53203?

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 53193 and 53203 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53193 and 53203, than apply into the LCM equation.

GCF(53193,53203) = 1
LCM(53193,53203) = ( 53193 × 53203) / 1
LCM(53193,53203) = 2830027179 / 1
LCM(53193,53203) = 2830027179

Least Common Multiple (LCM) of 53193 and 53203 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53193 and 53203. First we will calculate the prime factors of 53193 and 53203.

Prime Factorization of 53193

Prime Factorization of 53203

Now multiplying the highest exponent prime factors to calculate the LCM of 53193 and 53203.

LCM(53193,53203) = 3¹ × 7¹ × 17¹ × 149¹ × 83¹ × 641¹
LCM(53193,53203) = 2830027179