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What is the Least Common Multiple of 80327 and 80335?

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 80327 and 80335 is 6453069545.

LCM(80327,80335) = 6453069545

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Least Common Multiple of 80327 and 80335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80327 and 80335, than apply into the LCM equation.

GCF(80327,80335) = 1
LCM(80327,80335) = ( 80327 × 80335) / 1
LCM(80327,80335) = 6453069545 / 1
LCM(80327,80335) = 6453069545

Least Common Multiple (LCM) of 80327 and 80335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80327 and 80335. First we will calculate the prime factors of 80327 and 80335.

Prime Factorization of 80327

Prime factors of 80327 are 13, 37, 167. Prime factorization of 80327 in exponential form is:

80327 = 131 × 371 × 1671

Prime Factorization of 80335

Prime factors of 80335 are 5, 16067. Prime factorization of 80335 in exponential form is:

80335 = 51 × 160671

Now multiplying the highest exponent prime factors to calculate the LCM of 80327 and 80335.

LCM(80327,80335) = 131 × 371 × 1671 × 51 × 160671
LCM(80327,80335) = 6453069545