GCF and LCM Calculator Logo

What is the Least Common Multiple of 7402 and 7417?

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 7402 and 7417 is 54900634.

LCM(7402,7417) = 54900634

LCM Calculator and
and

Least Common Multiple of 7402 and 7417 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7402 and 7417, than apply into the LCM equation.

GCF(7402,7417) = 1
LCM(7402,7417) = ( 7402 × 7417) / 1
LCM(7402,7417) = 54900634 / 1
LCM(7402,7417) = 54900634

Least Common Multiple (LCM) of 7402 and 7417 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7402 and 7417. First we will calculate the prime factors of 7402 and 7417.

Prime Factorization of 7402

Prime factors of 7402 are 2, 3701. Prime factorization of 7402 in exponential form is:

7402 = 21 × 37011

Prime Factorization of 7417

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

7417 = 74171

Now multiplying the highest exponent prime factors to calculate the LCM of 7402 and 7417.

LCM(7402,7417) = 21 × 37011 × 74171
LCM(7402,7417) = 54900634