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What is the Least Common Multiple of 39531 and 39551?

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 39531 and 39551 is 1563490581.

LCM(39531,39551) = 1563490581

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Least Common Multiple of 39531 and 39551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39531 and 39551, than apply into the LCM equation.

GCF(39531,39551) = 1
LCM(39531,39551) = ( 39531 × 39551) / 1
LCM(39531,39551) = 1563490581 / 1
LCM(39531,39551) = 1563490581

Least Common Multiple (LCM) of 39531 and 39551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39531 and 39551. First we will calculate the prime factors of 39531 and 39551.

Prime Factorization of 39531

Prime factors of 39531 are 3, 13177. Prime factorization of 39531 in exponential form is:

39531 = 31 × 131771

Prime Factorization of 39551

Prime factors of 39551 are 39551. Prime factorization of 39551 in exponential form is:

39551 = 395511

Now multiplying the highest exponent prime factors to calculate the LCM of 39531 and 39551.

LCM(39531,39551) = 31 × 131771 × 395511
LCM(39531,39551) = 1563490581