What is the Least Common Multiple of 4417 and 4431?

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 4417 and 4431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4417 and 4431, than apply into the LCM equation.

GCF(4417,4431) = 7
LCM(4417,4431) = ( 4417 × 4431) / 7
LCM(4417,4431) = 19571727 / 7
LCM(4417,4431) = 2795961

Least Common Multiple (LCM) of 4417 and 4431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4417 and 4431. First we will calculate the prime factors of 4417 and 4431.

Prime Factorization of 4417

Prime Factorization of 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 4417 and 4431.

LCM(4417,4431) = 7¹ × 631¹ × 3¹ × 211¹
LCM(4417,4431) = 2795961