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What is the Least Common Multiple of 7726 and 7743?

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 7726 and 7743 is 59822418.

LCM(7726,7743) = 59822418

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Least Common Multiple of 7726 and 7743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7726 and 7743, than apply into the LCM equation.

GCF(7726,7743) = 1
LCM(7726,7743) = ( 7726 × 7743) / 1
LCM(7726,7743) = 59822418 / 1
LCM(7726,7743) = 59822418

Least Common Multiple (LCM) of 7726 and 7743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7726 and 7743. First we will calculate the prime factors of 7726 and 7743.

Prime Factorization of 7726

Prime factors of 7726 are 2, 3863. Prime factorization of 7726 in exponential form is:

7726 = 21 × 38631

Prime Factorization of 7743

Prime factors of 7743 are 3, 29, 89. Prime factorization of 7743 in exponential form is:

7743 = 31 × 291 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 7726 and 7743.

LCM(7726,7743) = 21 × 38631 × 31 × 291 × 891
LCM(7726,7743) = 59822418