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What is the Least Common Multiple of 7898 and 7903?

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 7898 and 7903 is 62417894.

LCM(7898,7903) = 62417894

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Least Common Multiple of 7898 and 7903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7898 and 7903, than apply into the LCM equation.

GCF(7898,7903) = 1
LCM(7898,7903) = ( 7898 × 7903) / 1
LCM(7898,7903) = 62417894 / 1
LCM(7898,7903) = 62417894

Least Common Multiple (LCM) of 7898 and 7903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7898 and 7903. First we will calculate the prime factors of 7898 and 7903.

Prime Factorization of 7898

Prime factors of 7898 are 2, 11, 359. Prime factorization of 7898 in exponential form is:

7898 = 21 × 111 × 3591

Prime Factorization of 7903

Prime factors of 7903 are 7, 1129. Prime factorization of 7903 in exponential form is:

7903 = 71 × 11291

Now multiplying the highest exponent prime factors to calculate the LCM of 7898 and 7903.

LCM(7898,7903) = 21 × 111 × 3591 × 71 × 11291
LCM(7898,7903) = 62417894