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What is the Least Common Multiple of 81560 and 81567?

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 81560 and 81567 is 6652604520.

LCM(81560,81567) = 6652604520

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Least Common Multiple of 81560 and 81567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81560 and 81567, than apply into the LCM equation.

GCF(81560,81567) = 1
LCM(81560,81567) = ( 81560 × 81567) / 1
LCM(81560,81567) = 6652604520 / 1
LCM(81560,81567) = 6652604520

Least Common Multiple (LCM) of 81560 and 81567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81560 and 81567. First we will calculate the prime factors of 81560 and 81567.

Prime Factorization of 81560

Prime factors of 81560 are 2, 5, 2039. Prime factorization of 81560 in exponential form is:

81560 = 23 × 51 × 20391

Prime Factorization of 81567

Prime factors of 81567 are 3, 19, 53. Prime factorization of 81567 in exponential form is:

81567 = 34 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 81560 and 81567.

LCM(81560,81567) = 23 × 51 × 20391 × 34 × 191 × 531
LCM(81560,81567) = 6652604520