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What is the Least Common Multiple of 80936 and 80943?

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 80936 and 80943 is 6551202648.

LCM(80936,80943) = 6551202648

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Least Common Multiple of 80936 and 80943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80936 and 80943, than apply into the LCM equation.

GCF(80936,80943) = 1
LCM(80936,80943) = ( 80936 × 80943) / 1
LCM(80936,80943) = 6551202648 / 1
LCM(80936,80943) = 6551202648

Least Common Multiple (LCM) of 80936 and 80943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80936 and 80943. First we will calculate the prime factors of 80936 and 80943.

Prime Factorization of 80936

Prime factors of 80936 are 2, 67, 151. Prime factorization of 80936 in exponential form is:

80936 = 23 × 671 × 1511

Prime Factorization of 80943

Prime factors of 80943 are 3, 26981. Prime factorization of 80943 in exponential form is:

80943 = 31 × 269811

Now multiplying the highest exponent prime factors to calculate the LCM of 80936 and 80943.

LCM(80936,80943) = 23 × 671 × 1511 × 31 × 269811
LCM(80936,80943) = 6551202648