What is the Least Common Multiple of 53909 and 53923?

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 53909 and 53923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53909 and 53923, than apply into the LCM equation.

GCF(53909,53923) = 1
LCM(53909,53923) = ( 53909 × 53923) / 1
LCM(53909,53923) = 2906935007 / 1
LCM(53909,53923) = 2906935007

Least Common Multiple (LCM) of 53909 and 53923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53909 and 53923. First we will calculate the prime factors of 53909 and 53923.

Prime Factorization of 53909

Prime Factorization of 53923

Now multiplying the highest exponent prime factors to calculate the LCM of 53909 and 53923.

LCM(53909,53923) = 31¹ × 37¹ × 47¹ × 53923¹
LCM(53909,53923) = 2906935007