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What is the Least Common Multiple of 11758 and 11771?

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 11758 and 11771 is 138403418.

LCM(11758,11771) = 138403418

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Least Common Multiple of 11758 and 11771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11758 and 11771, than apply into the LCM equation.

GCF(11758,11771) = 1
LCM(11758,11771) = ( 11758 × 11771) / 1
LCM(11758,11771) = 138403418 / 1
LCM(11758,11771) = 138403418

Least Common Multiple (LCM) of 11758 and 11771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11758 and 11771. First we will calculate the prime factors of 11758 and 11771.

Prime Factorization of 11758

Prime factors of 11758 are 2, 5879. Prime factorization of 11758 in exponential form is:

11758 = 21 × 58791

Prime Factorization of 11771

Prime factors of 11771 are 79, 149. Prime factorization of 11771 in exponential form is:

11771 = 791 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 11758 and 11771.

LCM(11758,11771) = 21 × 58791 × 791 × 1491
LCM(11758,11771) = 138403418