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What is the Least Common Multiple of 7417 and 7437?

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 7437 is 55160229.

LCM(7417,7437) = 55160229

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Least Common Multiple of 7417 and 7437 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 7437, than apply into the LCM equation.

GCF(7417,7437) = 1
LCM(7417,7437) = ( 7417 × 7437) / 1
LCM(7417,7437) = 55160229 / 1
LCM(7417,7437) = 55160229

Least Common Multiple (LCM) of 7417 and 7437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7417 and 7437. First we will calculate the prime factors of 7417 and 7437.

Prime Factorization of 7417

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

7417 = 74171

Prime Factorization of 7437

Prime factors of 7437 are 3, 37, 67. Prime factorization of 7437 in exponential form is:

7437 = 31 × 371 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 7417 and 7437.

LCM(7417,7437) = 74171 × 31 × 371 × 671
LCM(7417,7437) = 55160229