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What is the Least Common Multiple of 80918 and 80934?

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 80918 and 80934 is 3274508706.

LCM(80918,80934) = 3274508706

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Least Common Multiple of 80918 and 80934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80918 and 80934, than apply into the LCM equation.

GCF(80918,80934) = 2
LCM(80918,80934) = ( 80918 × 80934) / 2
LCM(80918,80934) = 6549017412 / 2
LCM(80918,80934) = 3274508706

Least Common Multiple (LCM) of 80918 and 80934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80918 and 80934. First we will calculate the prime factors of 80918 and 80934.

Prime Factorization of 80918

Prime factors of 80918 are 2, 40459. Prime factorization of 80918 in exponential form is:

80918 = 21 × 404591

Prime Factorization of 80934

Prime factors of 80934 are 2, 3, 7, 41, 47. Prime factorization of 80934 in exponential form is:

80934 = 21 × 31 × 71 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 80918 and 80934.

LCM(80918,80934) = 21 × 404591 × 31 × 71 × 411 × 471
LCM(80918,80934) = 3274508706