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What is the Least Common Multiple of 11754 and 11762?

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 11754 and 11762 is 69125274.

LCM(11754,11762) = 69125274

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Least Common Multiple of 11754 and 11762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11754 and 11762, than apply into the LCM equation.

GCF(11754,11762) = 2
LCM(11754,11762) = ( 11754 × 11762) / 2
LCM(11754,11762) = 138250548 / 2
LCM(11754,11762) = 69125274

Least Common Multiple (LCM) of 11754 and 11762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11754 and 11762. First we will calculate the prime factors of 11754 and 11762.

Prime Factorization of 11754

Prime factors of 11754 are 2, 3, 653. Prime factorization of 11754 in exponential form is:

11754 = 21 × 32 × 6531

Prime Factorization of 11762

Prime factors of 11762 are 2, 5881. Prime factorization of 11762 in exponential form is:

11762 = 21 × 58811

Now multiplying the highest exponent prime factors to calculate the LCM of 11754 and 11762.

LCM(11754,11762) = 21 × 32 × 6531 × 58811
LCM(11754,11762) = 69125274