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What is the Least Common Multiple of 11452 and 11470?

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 11452 and 11470 is 65677220.

LCM(11452,11470) = 65677220

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Least Common Multiple of 11452 and 11470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11452 and 11470, than apply into the LCM equation.

GCF(11452,11470) = 2
LCM(11452,11470) = ( 11452 × 11470) / 2
LCM(11452,11470) = 131354440 / 2
LCM(11452,11470) = 65677220

Least Common Multiple (LCM) of 11452 and 11470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11452 and 11470. First we will calculate the prime factors of 11452 and 11470.

Prime Factorization of 11452

Prime factors of 11452 are 2, 7, 409. Prime factorization of 11452 in exponential form is:

11452 = 22 × 71 × 4091

Prime Factorization of 11470

Prime factors of 11470 are 2, 5, 31, 37. Prime factorization of 11470 in exponential form is:

11470 = 21 × 51 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 11452 and 11470.

LCM(11452,11470) = 22 × 71 × 4091 × 51 × 311 × 371
LCM(11452,11470) = 65677220