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What is the Least Common Multiple of 62597 and 62614?

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 62597 and 62614 is 3919448558.

LCM(62597,62614) = 3919448558

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Least Common Multiple of 62597 and 62614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62597 and 62614, than apply into the LCM equation.

GCF(62597,62614) = 1
LCM(62597,62614) = ( 62597 × 62614) / 1
LCM(62597,62614) = 3919448558 / 1
LCM(62597,62614) = 3919448558

Least Common Multiple (LCM) of 62597 and 62614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62597 and 62614. First we will calculate the prime factors of 62597 and 62614.

Prime Factorization of 62597

Prime factors of 62597 are 62597. Prime factorization of 62597 in exponential form is:

62597 = 625971

Prime Factorization of 62614

Prime factors of 62614 are 2, 31307. Prime factorization of 62614 in exponential form is:

62614 = 21 × 313071

Now multiplying the highest exponent prime factors to calculate the LCM of 62597 and 62614.

LCM(62597,62614) = 625971 × 21 × 313071
LCM(62597,62614) = 3919448558