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What is the Least Common Multiple of 62995 and 62999?

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 62995 and 62999 is 3968622005.

LCM(62995,62999) = 3968622005

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Least Common Multiple of 62995 and 62999 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62995 and 62999, than apply into the LCM equation.

GCF(62995,62999) = 1
LCM(62995,62999) = ( 62995 × 62999) / 1
LCM(62995,62999) = 3968622005 / 1
LCM(62995,62999) = 3968622005

Least Common Multiple (LCM) of 62995 and 62999 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62995 and 62999. First we will calculate the prime factors of 62995 and 62999.

Prime Factorization of 62995

Prime factors of 62995 are 5, 43, 293. Prime factorization of 62995 in exponential form is:

62995 = 51 × 431 × 2931

Prime Factorization of 62999

Prime factors of 62999 are 73, 863. Prime factorization of 62999 in exponential form is:

62999 = 731 × 8631

Now multiplying the highest exponent prime factors to calculate the LCM of 62995 and 62999.

LCM(62995,62999) = 51 × 431 × 2931 × 731 × 8631
LCM(62995,62999) = 3968622005