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What is the Least Common Multiple of 80527 and 80542?

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 80527 and 80542 is 6485805634.

LCM(80527,80542) = 6485805634

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Least Common Multiple of 80527 and 80542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80527 and 80542, than apply into the LCM equation.

GCF(80527,80542) = 1
LCM(80527,80542) = ( 80527 × 80542) / 1
LCM(80527,80542) = 6485805634 / 1
LCM(80527,80542) = 6485805634

Least Common Multiple (LCM) of 80527 and 80542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80527 and 80542. First we will calculate the prime factors of 80527 and 80542.

Prime Factorization of 80527

Prime factors of 80527 are 80527. Prime factorization of 80527 in exponential form is:

80527 = 805271

Prime Factorization of 80542

Prime factors of 80542 are 2, 7, 11, 523. Prime factorization of 80542 in exponential form is:

80542 = 21 × 71 × 111 × 5231

Now multiplying the highest exponent prime factors to calculate the LCM of 80527 and 80542.

LCM(80527,80542) = 805271 × 21 × 71 × 111 × 5231
LCM(80527,80542) = 6485805634