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What is the Least Common Multiple of 7741 and 7754?

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 7741 and 7754 is 60023714.

LCM(7741,7754) = 60023714

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Least Common Multiple of 7741 and 7754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7741 and 7754, than apply into the LCM equation.

GCF(7741,7754) = 1
LCM(7741,7754) = ( 7741 × 7754) / 1
LCM(7741,7754) = 60023714 / 1
LCM(7741,7754) = 60023714

Least Common Multiple (LCM) of 7741 and 7754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7741 and 7754. First we will calculate the prime factors of 7741 and 7754.

Prime Factorization of 7741

Prime factors of 7741 are 7741. Prime factorization of 7741 in exponential form is:

7741 = 77411

Prime Factorization of 7754

Prime factors of 7754 are 2, 3877. Prime factorization of 7754 in exponential form is:

7754 = 21 × 38771

Now multiplying the highest exponent prime factors to calculate the LCM of 7741 and 7754.

LCM(7741,7754) = 77411 × 21 × 38771
LCM(7741,7754) = 60023714