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What is the Least Common Multiple of 80453 and 80463?

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 80453 and 80463 is 6473489739.

LCM(80453,80463) = 6473489739

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Least Common Multiple of 80453 and 80463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80453 and 80463, than apply into the LCM equation.

GCF(80453,80463) = 1
LCM(80453,80463) = ( 80453 × 80463) / 1
LCM(80453,80463) = 6473489739 / 1
LCM(80453,80463) = 6473489739

Least Common Multiple (LCM) of 80453 and 80463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80453 and 80463. First we will calculate the prime factors of 80453 and 80463.

Prime Factorization of 80453

Prime factors of 80453 are 43, 1871. Prime factorization of 80453 in exponential form is:

80453 = 431 × 18711

Prime Factorization of 80463

Prime factors of 80463 are 3, 26821. Prime factorization of 80463 in exponential form is:

80463 = 31 × 268211

Now multiplying the highest exponent prime factors to calculate the LCM of 80453 and 80463.

LCM(80453,80463) = 431 × 18711 × 31 × 268211
LCM(80453,80463) = 6473489739