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What is the Least Common Multiple of 7826 and 7837?

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 7826 and 7837 is 61332362.

LCM(7826,7837) = 61332362

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Least Common Multiple of 7826 and 7837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7826 and 7837, than apply into the LCM equation.

GCF(7826,7837) = 1
LCM(7826,7837) = ( 7826 × 7837) / 1
LCM(7826,7837) = 61332362 / 1
LCM(7826,7837) = 61332362

Least Common Multiple (LCM) of 7826 and 7837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7826 and 7837. First we will calculate the prime factors of 7826 and 7837.

Prime Factorization of 7826

Prime factors of 7826 are 2, 7, 13, 43. Prime factorization of 7826 in exponential form is:

7826 = 21 × 71 × 131 × 431

Prime Factorization of 7837

Prime factors of 7837 are 17, 461. Prime factorization of 7837 in exponential form is:

7837 = 171 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 7826 and 7837.

LCM(7826,7837) = 21 × 71 × 131 × 431 × 171 × 4611
LCM(7826,7837) = 61332362