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What is the Least Common Multiple of 80361 and 80373?

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 80361 and 80373 is 2152951551.

LCM(80361,80373) = 2152951551

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Least Common Multiple of 80361 and 80373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80361 and 80373, than apply into the LCM equation.

GCF(80361,80373) = 3
LCM(80361,80373) = ( 80361 × 80373) / 3
LCM(80361,80373) = 6458854653 / 3
LCM(80361,80373) = 2152951551

Least Common Multiple (LCM) of 80361 and 80373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80361 and 80373. First we will calculate the prime factors of 80361 and 80373.

Prime Factorization of 80361

Prime factors of 80361 are 3, 8929. Prime factorization of 80361 in exponential form is:

80361 = 32 × 89291

Prime Factorization of 80373

Prime factors of 80373 are 3, 73, 367. Prime factorization of 80373 in exponential form is:

80373 = 31 × 731 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 80361 and 80373.

LCM(80361,80373) = 32 × 89291 × 731 × 3671
LCM(80361,80373) = 2152951551