What is the Least Common Multiple of 53193 and 53197?

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 53197 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 53197, than apply into the LCM equation.

GCF(53193,53197) = 1
LCM(53193,53197) = ( 53193 × 53197) / 1
LCM(53193,53197) = 2829708021 / 1
LCM(53193,53197) = 2829708021

Least Common Multiple (LCM) of 53193 and 53197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53193 and 53197. First we will calculate the prime factors of 53193 and 53197.

Prime Factorization of 53193

Prime Factorization of 53197

Now multiplying the highest exponent prime factors to calculate the LCM of 53193 and 53197.

LCM(53193,53197) = 3¹ × 7¹ × 17¹ × 149¹ × 53197¹
LCM(53193,53197) = 2829708021