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What is the Least Common Multiple of 80527 and 80536?

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 80536 is 6485322472.

LCM(80527,80536) = 6485322472

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Least Common Multiple of 80527 and 80536 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 80536, than apply into the LCM equation.

GCF(80527,80536) = 1
LCM(80527,80536) = ( 80527 × 80536) / 1
LCM(80527,80536) = 6485322472 / 1
LCM(80527,80536) = 6485322472

Least Common Multiple (LCM) of 80527 and 80536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80527 and 80536. First we will calculate the prime factors of 80527 and 80536.

Prime Factorization of 80527

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

80527 = 805271

Prime Factorization of 80536

Prime factors of 80536 are 2, 10067. Prime factorization of 80536 in exponential form is:

80536 = 23 × 100671

Now multiplying the highest exponent prime factors to calculate the LCM of 80527 and 80536.

LCM(80527,80536) = 805271 × 23 × 100671
LCM(80527,80536) = 6485322472