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What is the Least Common Multiple of 80150 and 80161?

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 80150 and 80161 is 6424904150.

LCM(80150,80161) = 6424904150

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Least Common Multiple of 80150 and 80161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80150 and 80161, than apply into the LCM equation.

GCF(80150,80161) = 1
LCM(80150,80161) = ( 80150 × 80161) / 1
LCM(80150,80161) = 6424904150 / 1
LCM(80150,80161) = 6424904150

Least Common Multiple (LCM) of 80150 and 80161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80150 and 80161. First we will calculate the prime factors of 80150 and 80161.

Prime Factorization of 80150

Prime factors of 80150 are 2, 5, 7, 229. Prime factorization of 80150 in exponential form is:

80150 = 21 × 52 × 71 × 2291

Prime Factorization of 80161

Prime factors of 80161 are 19, 4219. Prime factorization of 80161 in exponential form is:

80161 = 191 × 42191

Now multiplying the highest exponent prime factors to calculate the LCM of 80150 and 80161.

LCM(80150,80161) = 21 × 52 × 71 × 2291 × 191 × 42191
LCM(80150,80161) = 6424904150