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What is the Least Common Multiple of 11457 and 11473?

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 11473 is 131446161.

LCM(11457,11473) = 131446161

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Least Common Multiple of 11457 and 11473 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 11473, than apply into the LCM equation.

GCF(11457,11473) = 1
LCM(11457,11473) = ( 11457 × 11473) / 1
LCM(11457,11473) = 131446161 / 1
LCM(11457,11473) = 131446161

Least Common Multiple (LCM) of 11457 and 11473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11457 and 11473. First we will calculate the prime factors of 11457 and 11473.

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 11473

Prime factors of 11473 are 7, 11, 149. Prime factorization of 11473 in exponential form is:

11473 = 71 × 111 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 11457 and 11473.

LCM(11457,11473) = 32 × 191 × 671 × 71 × 111 × 1491
LCM(11457,11473) = 131446161