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What is the Least Common Multiple of 2902 and 2915?

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 2902 and 2915 is 8459330.

LCM(2902,2915) = 8459330

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Least Common Multiple of 2902 and 2915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2902 and 2915, than apply into the LCM equation.

GCF(2902,2915) = 1
LCM(2902,2915) = ( 2902 × 2915) / 1
LCM(2902,2915) = 8459330 / 1
LCM(2902,2915) = 8459330

Least Common Multiple (LCM) of 2902 and 2915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2902 and 2915. First we will calculate the prime factors of 2902 and 2915.

Prime Factorization of 2902

Prime factors of 2902 are 2, 1451. Prime factorization of 2902 in exponential form is:

2902 = 21 × 14511

Prime Factorization of 2915

Prime factors of 2915 are 5, 11, 53. Prime factorization of 2915 in exponential form is:

2915 = 51 × 111 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 2902 and 2915.

LCM(2902,2915) = 21 × 14511 × 51 × 111 × 531
LCM(2902,2915) = 8459330