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What is the Least Common Multiple of 80922 and 80935?

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 80922 and 80935 is 6549422070.

LCM(80922,80935) = 6549422070

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Least Common Multiple of 80922 and 80935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80922 and 80935, than apply into the LCM equation.

GCF(80922,80935) = 1
LCM(80922,80935) = ( 80922 × 80935) / 1
LCM(80922,80935) = 6549422070 / 1
LCM(80922,80935) = 6549422070

Least Common Multiple (LCM) of 80922 and 80935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80922 and 80935. First we will calculate the prime factors of 80922 and 80935.

Prime Factorization of 80922

Prime factors of 80922 are 2, 3, 13487. Prime factorization of 80922 in exponential form is:

80922 = 21 × 31 × 134871

Prime Factorization of 80935

Prime factors of 80935 are 5, 16187. Prime factorization of 80935 in exponential form is:

80935 = 51 × 161871

Now multiplying the highest exponent prime factors to calculate the LCM of 80922 and 80935.

LCM(80922,80935) = 21 × 31 × 134871 × 51 × 161871
LCM(80922,80935) = 6549422070