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What is the Least Common Multiple of 11457 and 11468?

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 11457 and 11468 is 131388876.

LCM(11457,11468) = 131388876

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Least Common Multiple of 11457 and 11468 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11457 and 11468, than apply into the LCM equation.

GCF(11457,11468) = 1
LCM(11457,11468) = ( 11457 × 11468) / 1
LCM(11457,11468) = 131388876 / 1
LCM(11457,11468) = 131388876

Least Common Multiple (LCM) of 11457 and 11468 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11457 and 11468. First we will calculate the prime factors of 11457 and 11468.

Prime Factorization of 11457

Prime factors of 11457 are 3, 19, 67. Prime factorization of 11457 in exponential form is:

11457 = 32 × 191 × 671

Prime Factorization of 11468

Prime factors of 11468 are 2, 47, 61. Prime factorization of 11468 in exponential form is:

11468 = 22 × 471 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 11457 and 11468.

LCM(11457,11468) = 32 × 191 × 671 × 22 × 471 × 611
LCM(11457,11468) = 131388876