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What is the Least Common Multiple of 80918 and 80922?

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 80922 is 3274023198.

LCM(80918,80922) = 3274023198

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Least Common Multiple of 80918 and 80922 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 80922, than apply into the LCM equation.

GCF(80918,80922) = 2
LCM(80918,80922) = ( 80918 × 80922) / 2
LCM(80918,80922) = 6548046396 / 2
LCM(80918,80922) = 3274023198

Least Common Multiple (LCM) of 80918 and 80922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80918 and 80922. First we will calculate the prime factors of 80918 and 80922.

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 80922

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

80922 = 21 × 31 × 134871

Now multiplying the highest exponent prime factors to calculate the LCM of 80918 and 80922.

LCM(80918,80922) = 21 × 404591 × 31 × 134871
LCM(80918,80922) = 3274023198