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What is the Least Common Multiple of 39241 and 39251?

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 39241 and 39251 is 1540248491.

LCM(39241,39251) = 1540248491

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Least Common Multiple of 39241 and 39251 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39241 and 39251, than apply into the LCM equation.

GCF(39241,39251) = 1
LCM(39241,39251) = ( 39241 × 39251) / 1
LCM(39241,39251) = 1540248491 / 1
LCM(39241,39251) = 1540248491

Least Common Multiple (LCM) of 39241 and 39251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39241 and 39251. First we will calculate the prime factors of 39241 and 39251.

Prime Factorization of 39241

Prime factors of 39241 are 39241. Prime factorization of 39241 in exponential form is:

39241 = 392411

Prime Factorization of 39251

Prime factors of 39251 are 39251. Prime factorization of 39251 in exponential form is:

39251 = 392511

Now multiplying the highest exponent prime factors to calculate the LCM of 39241 and 39251.

LCM(39241,39251) = 392411 × 392511
LCM(39241,39251) = 1540248491