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What is the Least Common Multiple of 51449 and 51463?

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 51449 and 51463 is 2647719887.

LCM(51449,51463) = 2647719887

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Least Common Multiple of 51449 and 51463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51449 and 51463, than apply into the LCM equation.

GCF(51449,51463) = 1
LCM(51449,51463) = ( 51449 × 51463) / 1
LCM(51449,51463) = 2647719887 / 1
LCM(51449,51463) = 2647719887

Least Common Multiple (LCM) of 51449 and 51463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51449 and 51463. First we will calculate the prime factors of 51449 and 51463.

Prime Factorization of 51449

Prime factors of 51449 are 51449. Prime factorization of 51449 in exponential form is:

51449 = 514491

Prime Factorization of 51463

Prime factors of 51463 are 53, 971. Prime factorization of 51463 in exponential form is:

51463 = 531 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 51449 and 51463.

LCM(51449,51463) = 514491 × 531 × 9711
LCM(51449,51463) = 2647719887