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What is the Least Common Multiple of 62461 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 62461 and 62471 is 3902001131.

LCM(62461,62471) = 3902001131

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Least Common Multiple of 62461 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 62461 and 62471, than apply into the LCM equation.

GCF(62461,62471) = 1
LCM(62461,62471) = ( 62461 × 62471) / 1
LCM(62461,62471) = 3902001131 / 1
LCM(62461,62471) = 3902001131

Least Common Multiple (LCM) of 62461 and 62471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62461 and 62471. First we will calculate the prime factors of 62461 and 62471.

Prime Factorization of 62461

Prime factors of 62461 are 7, 8923. Prime factorization of 62461 in exponential form is:

62461 = 71 × 89231

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 62461 and 62471.

LCM(62461,62471) = 71 × 89231 × 1791 × 3491
LCM(62461,62471) = 3902001131