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What is the Least Common Multiple of 80655 and 80662?

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 80655 and 80662 is 6505793610.

LCM(80655,80662) = 6505793610

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Least Common Multiple of 80655 and 80662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80655 and 80662, than apply into the LCM equation.

GCF(80655,80662) = 1
LCM(80655,80662) = ( 80655 × 80662) / 1
LCM(80655,80662) = 6505793610 / 1
LCM(80655,80662) = 6505793610

Least Common Multiple (LCM) of 80655 and 80662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80655 and 80662. First we will calculate the prime factors of 80655 and 80662.

Prime Factorization of 80655

Prime factors of 80655 are 3, 5, 19, 283. Prime factorization of 80655 in exponential form is:

80655 = 31 × 51 × 191 × 2831

Prime Factorization of 80662

Prime factors of 80662 are 2, 31, 1301. Prime factorization of 80662 in exponential form is:

80662 = 21 × 311 × 13011

Now multiplying the highest exponent prime factors to calculate the LCM of 80655 and 80662.

LCM(80655,80662) = 31 × 51 × 191 × 2831 × 21 × 311 × 13011
LCM(80655,80662) = 6505793610