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What is the Least Common Multiple of 7906 and 7922?

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 7906 and 7922 is 31315666.

LCM(7906,7922) = 31315666

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Least Common Multiple of 7906 and 7922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7906 and 7922, than apply into the LCM equation.

GCF(7906,7922) = 2
LCM(7906,7922) = ( 7906 × 7922) / 2
LCM(7906,7922) = 62631332 / 2
LCM(7906,7922) = 31315666

Least Common Multiple (LCM) of 7906 and 7922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7906 and 7922. First we will calculate the prime factors of 7906 and 7922.

Prime Factorization of 7906

Prime factors of 7906 are 2, 59, 67. Prime factorization of 7906 in exponential form is:

7906 = 21 × 591 × 671

Prime Factorization of 7922

Prime factors of 7922 are 2, 17, 233. Prime factorization of 7922 in exponential form is:

7922 = 21 × 171 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 7906 and 7922.

LCM(7906,7922) = 21 × 591 × 671 × 171 × 2331
LCM(7906,7922) = 31315666