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What is the Least Common Multiple of 39895 and 39908?

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 39895 and 39908 is 1592129660.

LCM(39895,39908) = 1592129660

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Least Common Multiple of 39895 and 39908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39895 and 39908, than apply into the LCM equation.

GCF(39895,39908) = 1
LCM(39895,39908) = ( 39895 × 39908) / 1
LCM(39895,39908) = 1592129660 / 1
LCM(39895,39908) = 1592129660

Least Common Multiple (LCM) of 39895 and 39908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39895 and 39908. First we will calculate the prime factors of 39895 and 39908.

Prime Factorization of 39895

Prime factors of 39895 are 5, 79, 101. Prime factorization of 39895 in exponential form is:

39895 = 51 × 791 × 1011

Prime Factorization of 39908

Prime factors of 39908 are 2, 11, 907. Prime factorization of 39908 in exponential form is:

39908 = 22 × 111 × 9071

Now multiplying the highest exponent prime factors to calculate the LCM of 39895 and 39908.

LCM(39895,39908) = 51 × 791 × 1011 × 22 × 111 × 9071
LCM(39895,39908) = 1592129660