What is the Least Common Multiple of 53428 and 53447?

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 53428 and 53447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53428 and 53447, than apply into the LCM equation.

GCF(53428,53447) = 19
LCM(53428,53447) = ( 53428 × 53447) / 19
LCM(53428,53447) = 2855566316 / 19
LCM(53428,53447) = 150292964

Least Common Multiple (LCM) of 53428 and 53447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53428 and 53447. First we will calculate the prime factors of 53428 and 53447.

Prime Factorization of 53428

Prime Factorization of 53447

Now multiplying the highest exponent prime factors to calculate the LCM of 53428 and 53447.

LCM(53428,53447) = 2² × 19² × 37¹ × 29¹ × 97¹
LCM(53428,53447) = 150292964