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What is the Least Common Multiple of 80283 and 80299?

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 80283 and 80299 is 6446644617.

LCM(80283,80299) = 6446644617

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Least Common Multiple of 80283 and 80299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80283 and 80299, than apply into the LCM equation.

GCF(80283,80299) = 1
LCM(80283,80299) = ( 80283 × 80299) / 1
LCM(80283,80299) = 6446644617 / 1
LCM(80283,80299) = 6446644617

Least Common Multiple (LCM) of 80283 and 80299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80283 and 80299. First we will calculate the prime factors of 80283 and 80299.

Prime Factorization of 80283

Prime factors of 80283 are 3, 7, 3823. Prime factorization of 80283 in exponential form is:

80283 = 31 × 71 × 38231

Prime Factorization of 80299

Prime factors of 80299 are 59, 1361. Prime factorization of 80299 in exponential form is:

80299 = 591 × 13611

Now multiplying the highest exponent prime factors to calculate the LCM of 80283 and 80299.

LCM(80283,80299) = 31 × 71 × 38231 × 591 × 13611
LCM(80283,80299) = 6446644617