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What is the Least Common Multiple of 80406 and 80425?

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 80406 and 80425 is 6466652550.

LCM(80406,80425) = 6466652550

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Least Common Multiple of 80406 and 80425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80406 and 80425, than apply into the LCM equation.

GCF(80406,80425) = 1
LCM(80406,80425) = ( 80406 × 80425) / 1
LCM(80406,80425) = 6466652550 / 1
LCM(80406,80425) = 6466652550

Least Common Multiple (LCM) of 80406 and 80425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80406 and 80425. First we will calculate the prime factors of 80406 and 80425.

Prime Factorization of 80406

Prime factors of 80406 are 2, 3, 1489. Prime factorization of 80406 in exponential form is:

80406 = 21 × 33 × 14891

Prime Factorization of 80425

Prime factors of 80425 are 5, 3217. Prime factorization of 80425 in exponential form is:

80425 = 52 × 32171

Now multiplying the highest exponent prime factors to calculate the LCM of 80406 and 80425.

LCM(80406,80425) = 21 × 33 × 14891 × 52 × 32171
LCM(80406,80425) = 6466652550