What is the Least Common Multiple of 5434 and 5447?

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 5434 and 5447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5434 and 5447, than apply into the LCM equation.

GCF(5434,5447) = 13
LCM(5434,5447) = ( 5434 × 5447) / 13
LCM(5434,5447) = 29598998 / 13
LCM(5434,5447) = 2276846

Least Common Multiple (LCM) of 5434 and 5447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5434 and 5447. First we will calculate the prime factors of 5434 and 5447.

Prime Factorization of 5434

Prime Factorization of 5447

Now multiplying the highest exponent prime factors to calculate the LCM of 5434 and 5447.

LCM(5434,5447) = 2¹ × 11¹ × 13¹ × 19¹ × 419¹
LCM(5434,5447) = 2276846