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What is the Least Common Multiple of 42449 and 42463?

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 42449 and 42463 is 1802511887.

LCM(42449,42463) = 1802511887

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Least Common Multiple of 42449 and 42463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42449 and 42463, than apply into the LCM equation.

GCF(42449,42463) = 1
LCM(42449,42463) = ( 42449 × 42463) / 1
LCM(42449,42463) = 1802511887 / 1
LCM(42449,42463) = 1802511887

Least Common Multiple (LCM) of 42449 and 42463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42449 and 42463. First we will calculate the prime factors of 42449 and 42463.

Prime Factorization of 42449

Prime factors of 42449 are 11, 17, 227. Prime factorization of 42449 in exponential form is:

42449 = 111 × 171 × 2271

Prime Factorization of 42463

Prime factors of 42463 are 42463. Prime factorization of 42463 in exponential form is:

42463 = 424631

Now multiplying the highest exponent prime factors to calculate the LCM of 42449 and 42463.

LCM(42449,42463) = 111 × 171 × 2271 × 424631
LCM(42449,42463) = 1802511887