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What is the Least Common Multiple of 80243 and 80263?

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 80243 and 80263 is 6440543909.

LCM(80243,80263) = 6440543909

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Least Common Multiple of 80243 and 80263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80243 and 80263, than apply into the LCM equation.

GCF(80243,80263) = 1
LCM(80243,80263) = ( 80243 × 80263) / 1
LCM(80243,80263) = 6440543909 / 1
LCM(80243,80263) = 6440543909

Least Common Multiple (LCM) of 80243 and 80263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80243 and 80263. First we will calculate the prime factors of 80243 and 80263.

Prime Factorization of 80243

Prime factors of 80243 are 29, 2767. Prime factorization of 80243 in exponential form is:

80243 = 291 × 27671

Prime Factorization of 80263

Prime factors of 80263 are 80263. Prime factorization of 80263 in exponential form is:

80263 = 802631

Now multiplying the highest exponent prime factors to calculate the LCM of 80243 and 80263.

LCM(80243,80263) = 291 × 27671 × 802631
LCM(80243,80263) = 6440543909