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What is the Least Common Multiple of 62471 and 62475?

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 62471 and 62475 is 3902875725.

LCM(62471,62475) = 3902875725

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Least Common Multiple of 62471 and 62475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62471 and 62475, than apply into the LCM equation.

GCF(62471,62475) = 1
LCM(62471,62475) = ( 62471 × 62475) / 1
LCM(62471,62475) = 3902875725 / 1
LCM(62471,62475) = 3902875725

Least Common Multiple (LCM) of 62471 and 62475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62471 and 62475. First we will calculate the prime factors of 62471 and 62475.

Prime Factorization of 62471

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

62471 = 1791 × 3491

Prime Factorization of 62475

Prime factors of 62475 are 3, 5, 7, 17. Prime factorization of 62475 in exponential form is:

62475 = 31 × 52 × 72 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 62471 and 62475.

LCM(62471,62475) = 1791 × 3491 × 31 × 52 × 72 × 171
LCM(62471,62475) = 3902875725