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What is the Least Common Multiple of 10567 and 10574?

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 10567 and 10574 is 111735458.

LCM(10567,10574) = 111735458

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Least Common Multiple of 10567 and 10574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10567 and 10574, than apply into the LCM equation.

GCF(10567,10574) = 1
LCM(10567,10574) = ( 10567 × 10574) / 1
LCM(10567,10574) = 111735458 / 1
LCM(10567,10574) = 111735458

Least Common Multiple (LCM) of 10567 and 10574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10567 and 10574. First we will calculate the prime factors of 10567 and 10574.

Prime Factorization of 10567

Prime factors of 10567 are 10567. Prime factorization of 10567 in exponential form is:

10567 = 105671

Prime Factorization of 10574

Prime factors of 10574 are 2, 17, 311. Prime factorization of 10574 in exponential form is:

10574 = 21 × 171 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 10567 and 10574.

LCM(10567,10574) = 105671 × 21 × 171 × 3111
LCM(10567,10574) = 111735458