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What is the Least Common Multiple of 40243 and 40247?

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 40243 and 40247 is 1619660021.

LCM(40243,40247) = 1619660021

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Least Common Multiple of 40243 and 40247 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40243 and 40247, than apply into the LCM equation.

GCF(40243,40247) = 1
LCM(40243,40247) = ( 40243 × 40247) / 1
LCM(40243,40247) = 1619660021 / 1
LCM(40243,40247) = 1619660021

Least Common Multiple (LCM) of 40243 and 40247 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40243 and 40247. First we will calculate the prime factors of 40243 and 40247.

Prime Factorization of 40243

Prime factors of 40243 are 7, 5749. Prime factorization of 40243 in exponential form is:

40243 = 71 × 57491

Prime Factorization of 40247

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

40247 = 1671 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 40243 and 40247.

LCM(40243,40247) = 71 × 57491 × 1671 × 2411
LCM(40243,40247) = 1619660021