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What is the Least Common Multiple of 11478 and 11492?

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 11478 and 11492 is 65952588.

LCM(11478,11492) = 65952588

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Least Common Multiple of 11478 and 11492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11478 and 11492, than apply into the LCM equation.

GCF(11478,11492) = 2
LCM(11478,11492) = ( 11478 × 11492) / 2
LCM(11478,11492) = 131905176 / 2
LCM(11478,11492) = 65952588

Least Common Multiple (LCM) of 11478 and 11492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11478 and 11492. First we will calculate the prime factors of 11478 and 11492.

Prime Factorization of 11478

Prime factors of 11478 are 2, 3, 1913. Prime factorization of 11478 in exponential form is:

11478 = 21 × 31 × 19131

Prime Factorization of 11492

Prime factors of 11492 are 2, 13, 17. Prime factorization of 11492 in exponential form is:

11492 = 22 × 132 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 11478 and 11492.

LCM(11478,11492) = 22 × 31 × 19131 × 132 × 171
LCM(11478,11492) = 65952588