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What is the Least Common Multiple of 62455 and 62463?

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 62455 and 62463 is 3901126665.

LCM(62455,62463) = 3901126665

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Least Common Multiple of 62455 and 62463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62455 and 62463, than apply into the LCM equation.

GCF(62455,62463) = 1
LCM(62455,62463) = ( 62455 × 62463) / 1
LCM(62455,62463) = 3901126665 / 1
LCM(62455,62463) = 3901126665

Least Common Multiple (LCM) of 62455 and 62463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62455 and 62463. First we will calculate the prime factors of 62455 and 62463.

Prime Factorization of 62455

Prime factors of 62455 are 5, 12491. Prime factorization of 62455 in exponential form is:

62455 = 51 × 124911

Prime Factorization of 62463

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

62463 = 31 × 471 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 62455 and 62463.

LCM(62455,62463) = 51 × 124911 × 31 × 471 × 4431
LCM(62455,62463) = 3901126665