GCF and LCM Calculator Logo

What is the Least Common Multiple of 7417 and 7427?

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 (LCM) of 7417 and 7427 is 55086059.

LCM(7417,7427) = 55086059

LCM Calculator and
and

Least Common Multiple of 7417 and 7427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7417 and 7427, than apply into the LCM equation.

GCF(7417,7427) = 1
LCM(7417,7427) = ( 7417 × 7427) / 1
LCM(7417,7427) = 55086059 / 1
LCM(7417,7427) = 55086059

Least Common Multiple (LCM) of 7417 and 7427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7417 and 7427. First we will calculate the prime factors of 7417 and 7427.

Prime Factorization of 7417

Prime factors of 7417 are 7417. Prime factorization of 7417 in exponential form is:

7417 = 74171

Prime Factorization of 7427

Prime factors of 7427 are 7, 1061. Prime factorization of 7427 in exponential form is:

7427 = 71 × 10611

Now multiplying the highest exponent prime factors to calculate the LCM of 7417 and 7427.

LCM(7417,7427) = 74171 × 71 × 10611
LCM(7417,7427) = 55086059