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What is the Least Common Multiple of 11754 and 11764?

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 11764 is 69137028.

LCM(11754,11764) = 69137028

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Least Common Multiple of 11754 and 11764 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 11764, than apply into the LCM equation.

GCF(11754,11764) = 2
LCM(11754,11764) = ( 11754 × 11764) / 2
LCM(11754,11764) = 138274056 / 2
LCM(11754,11764) = 69137028

Least Common Multiple (LCM) of 11754 and 11764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11754 and 11764. First we will calculate the prime factors of 11754 and 11764.

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 11764

Prime factors of 11764 are 2, 17, 173. Prime factorization of 11764 in exponential form is:

11764 = 22 × 171 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 11754 and 11764.

LCM(11754,11764) = 22 × 32 × 6531 × 171 × 1731
LCM(11754,11764) = 69137028