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What is the Least Common Multiple of 7930 and 7935?

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 7930 and 7935 is 12584910.

LCM(7930,7935) = 12584910

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Least Common Multiple of 7930 and 7935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7930 and 7935, than apply into the LCM equation.

GCF(7930,7935) = 5
LCM(7930,7935) = ( 7930 × 7935) / 5
LCM(7930,7935) = 62924550 / 5
LCM(7930,7935) = 12584910

Least Common Multiple (LCM) of 7930 and 7935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7930 and 7935. First we will calculate the prime factors of 7930 and 7935.

Prime Factorization of 7930

Prime factors of 7930 are 2, 5, 13, 61. Prime factorization of 7930 in exponential form is:

7930 = 21 × 51 × 131 × 611

Prime Factorization of 7935

Prime factors of 7935 are 3, 5, 23. Prime factorization of 7935 in exponential form is:

7935 = 31 × 51 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 7930 and 7935.

LCM(7930,7935) = 21 × 51 × 131 × 611 × 31 × 232
LCM(7930,7935) = 12584910