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What is the Least Common Multiple of 61471 and 61487?

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 61471 and 61487 is 3779667377.

LCM(61471,61487) = 3779667377

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Least Common Multiple of 61471 and 61487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61471 and 61487, than apply into the LCM equation.

GCF(61471,61487) = 1
LCM(61471,61487) = ( 61471 × 61487) / 1
LCM(61471,61487) = 3779667377 / 1
LCM(61471,61487) = 3779667377

Least Common Multiple (LCM) of 61471 and 61487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61471 and 61487. First we will calculate the prime factors of 61471 and 61487.

Prime Factorization of 61471

Prime factors of 61471 are 61471. Prime factorization of 61471 in exponential form is:

61471 = 614711

Prime Factorization of 61487

Prime factors of 61487 are 61487. Prime factorization of 61487 in exponential form is:

61487 = 614871

Now multiplying the highest exponent prime factors to calculate the LCM of 61471 and 61487.

LCM(61471,61487) = 614711 × 614871
LCM(61471,61487) = 3779667377