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What is the Least Common Multiple of 80926 and 80933?

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 80926 and 80933 is 6549583958.

LCM(80926,80933) = 6549583958

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Least Common Multiple of 80926 and 80933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80926 and 80933, than apply into the LCM equation.

GCF(80926,80933) = 1
LCM(80926,80933) = ( 80926 × 80933) / 1
LCM(80926,80933) = 6549583958 / 1
LCM(80926,80933) = 6549583958

Least Common Multiple (LCM) of 80926 and 80933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80926 and 80933. First we will calculate the prime factors of 80926 and 80933.

Prime Factorization of 80926

Prime factors of 80926 are 2, 43, 941. Prime factorization of 80926 in exponential form is:

80926 = 21 × 431 × 9411

Prime Factorization of 80933

Prime factors of 80933 are 80933. Prime factorization of 80933 in exponential form is:

80933 = 809331

Now multiplying the highest exponent prime factors to calculate the LCM of 80926 and 80933.

LCM(80926,80933) = 21 × 431 × 9411 × 809331
LCM(80926,80933) = 6549583958