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What is the Least Common Multiple of 80534 and 80547?

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 80534 and 80547 is 6486772098.

LCM(80534,80547) = 6486772098

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Least Common Multiple of 80534 and 80547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80534 and 80547, than apply into the LCM equation.

GCF(80534,80547) = 1
LCM(80534,80547) = ( 80534 × 80547) / 1
LCM(80534,80547) = 6486772098 / 1
LCM(80534,80547) = 6486772098

Least Common Multiple (LCM) of 80534 and 80547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80534 and 80547. First we will calculate the prime factors of 80534 and 80547.

Prime Factorization of 80534

Prime factors of 80534 are 2, 67, 601. Prime factorization of 80534 in exponential form is:

80534 = 21 × 671 × 6011

Prime Factorization of 80547

Prime factors of 80547 are 3, 26849. Prime factorization of 80547 in exponential form is:

80547 = 31 × 268491

Now multiplying the highest exponent prime factors to calculate the LCM of 80534 and 80547.

LCM(80534,80547) = 21 × 671 × 6011 × 31 × 268491
LCM(80534,80547) = 6486772098