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What is the Least Common Multiple of 80917 and 80937?

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 80917 and 80937 is 6549179229.

LCM(80917,80937) = 6549179229

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Least Common Multiple of 80917 and 80937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80917 and 80937, than apply into the LCM equation.

GCF(80917,80937) = 1
LCM(80917,80937) = ( 80917 × 80937) / 1
LCM(80917,80937) = 6549179229 / 1
LCM(80917,80937) = 6549179229

Least Common Multiple (LCM) of 80917 and 80937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80917 and 80937. First we will calculate the prime factors of 80917 and 80937.

Prime Factorization of 80917

Prime factors of 80917 are 80917. Prime factorization of 80917 in exponential form is:

80917 = 809171

Prime Factorization of 80937

Prime factors of 80937 are 3, 17, 23. Prime factorization of 80937 in exponential form is:

80937 = 32 × 171 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 80917 and 80937.

LCM(80917,80937) = 809171 × 32 × 171 × 232
LCM(80917,80937) = 6549179229