What is the Least Common Multiple of 53379 and 53399?

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 53379 and 53399 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53379 and 53399, than apply into the LCM equation.

GCF(53379,53399) = 1
LCM(53379,53399) = ( 53379 × 53399) / 1
LCM(53379,53399) = 2850385221 / 1
LCM(53379,53399) = 2850385221

Least Common Multiple (LCM) of 53379 and 53399 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53379 and 53399. First we will calculate the prime factors of 53379 and 53399.

Prime Factorization of 53379

Prime Factorization of 53399

Now multiplying the highest exponent prime factors to calculate the LCM of 53379 and 53399.

LCM(53379,53399) = 3⁴ × 659¹ × 67¹ × 797¹
LCM(53379,53399) = 2850385221