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What is the Least Common Multiple of 62420 and 62437?

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 62420 and 62437 is 3897317540.

LCM(62420,62437) = 3897317540

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Least Common Multiple of 62420 and 62437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62420 and 62437, than apply into the LCM equation.

GCF(62420,62437) = 1
LCM(62420,62437) = ( 62420 × 62437) / 1
LCM(62420,62437) = 3897317540 / 1
LCM(62420,62437) = 3897317540

Least Common Multiple (LCM) of 62420 and 62437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62420 and 62437. First we will calculate the prime factors of 62420 and 62437.

Prime Factorization of 62420

Prime factors of 62420 are 2, 5, 3121. Prime factorization of 62420 in exponential form is:

62420 = 22 × 51 × 31211

Prime Factorization of 62437

Prime factors of 62437 are 29, 2153. Prime factorization of 62437 in exponential form is:

62437 = 291 × 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 62420 and 62437.

LCM(62420,62437) = 22 × 51 × 31211 × 291 × 21531
LCM(62420,62437) = 3897317540