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What is the Least Common Multiple of 62463 and 62471?

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 62463 and 62471 is 3902126073.

LCM(62463,62471) = 3902126073

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Least Common Multiple of 62463 and 62471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62463 and 62471, than apply into the LCM equation.

GCF(62463,62471) = 1
LCM(62463,62471) = ( 62463 × 62471) / 1
LCM(62463,62471) = 3902126073 / 1
LCM(62463,62471) = 3902126073

Least Common Multiple (LCM) of 62463 and 62471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62463 and 62471. First we will calculate the prime factors of 62463 and 62471.

Prime Factorization of 62463

Prime factors of 62463 are 3, 47, 443. Prime factorization of 62463 in exponential form is:

62463 = 31 × 471 × 4431

Prime Factorization of 62471

Prime factors of 62471 are 179, 349. Prime factorization of 62471 in exponential form is:

62471 = 1791 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 62463 and 62471.

LCM(62463,62471) = 31 × 471 × 4431 × 1791 × 3491
LCM(62463,62471) = 3902126073