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What is the Least Common Multiple of 81533 and 81553?

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 81533 and 81553 is 6649260749.

LCM(81533,81553) = 6649260749

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Least Common Multiple of 81533 and 81553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81533 and 81553, than apply into the LCM equation.

GCF(81533,81553) = 1
LCM(81533,81553) = ( 81533 × 81553) / 1
LCM(81533,81553) = 6649260749 / 1
LCM(81533,81553) = 6649260749

Least Common Multiple (LCM) of 81533 and 81553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81533 and 81553. First we will calculate the prime factors of 81533 and 81553.

Prime Factorization of 81533

Prime factors of 81533 are 81533. Prime factorization of 81533 in exponential form is:

81533 = 815331

Prime Factorization of 81553

Prime factors of 81553 are 81553. Prime factorization of 81553 in exponential form is:

81553 = 815531

Now multiplying the highest exponent prime factors to calculate the LCM of 81533 and 81553.

LCM(81533,81553) = 815331 × 815531
LCM(81533,81553) = 6649260749