What is the Least Common Multiple of 53809 and 53823?

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 53809 and 53823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53809 and 53823, than apply into the LCM equation.

GCF(53809,53823) = 7
LCM(53809,53823) = ( 53809 × 53823) / 7
LCM(53809,53823) = 2896161807 / 7
LCM(53809,53823) = 413737401

Least Common Multiple (LCM) of 53809 and 53823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53809 and 53823. First we will calculate the prime factors of 53809 and 53823.

Prime Factorization of 53809

Prime Factorization of 53823

Now multiplying the highest exponent prime factors to calculate the LCM of 53809 and 53823.

LCM(53809,53823) = 7¹ × 7687¹ × 3¹ × 11¹ × 233¹
LCM(53809,53823) = 413737401