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What is the Least Common Multiple of 40247 and 40261?

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 40247 and 40261 is 1620384467.

LCM(40247,40261) = 1620384467

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Least Common Multiple of 40247 and 40261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40247 and 40261, than apply into the LCM equation.

GCF(40247,40261) = 1
LCM(40247,40261) = ( 40247 × 40261) / 1
LCM(40247,40261) = 1620384467 / 1
LCM(40247,40261) = 1620384467

Least Common Multiple (LCM) of 40247 and 40261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40247 and 40261. First we will calculate the prime factors of 40247 and 40261.

Prime Factorization of 40247

Prime factors of 40247 are 167, 241. Prime factorization of 40247 in exponential form is:

40247 = 1671 × 2411

Prime Factorization of 40261

Prime factors of 40261 are 13, 19, 163. Prime factorization of 40261 in exponential form is:

40261 = 131 × 191 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 40247 and 40261.

LCM(40247,40261) = 1671 × 2411 × 131 × 191 × 1631
LCM(40247,40261) = 1620384467