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What is the Least Common Multiple of 80222 and 80241?

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 80222 and 80241 is 6437093502.

LCM(80222,80241) = 6437093502

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Least Common Multiple of 80222 and 80241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80222 and 80241, than apply into the LCM equation.

GCF(80222,80241) = 1
LCM(80222,80241) = ( 80222 × 80241) / 1
LCM(80222,80241) = 6437093502 / 1
LCM(80222,80241) = 6437093502

Least Common Multiple (LCM) of 80222 and 80241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80222 and 80241. First we will calculate the prime factors of 80222 and 80241.

Prime Factorization of 80222

Prime factors of 80222 are 2, 40111. Prime factorization of 80222 in exponential form is:

80222 = 21 × 401111

Prime Factorization of 80241

Prime factors of 80241 are 3, 7, 3821. Prime factorization of 80241 in exponential form is:

80241 = 31 × 71 × 38211

Now multiplying the highest exponent prime factors to calculate the LCM of 80222 and 80241.

LCM(80222,80241) = 21 × 401111 × 31 × 71 × 38211
LCM(80222,80241) = 6437093502