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What is the Least Common Multiple of 40147 and 40162?

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 40147 and 40162 is 1612383814.

LCM(40147,40162) = 1612383814

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Least Common Multiple of 40147 and 40162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40147 and 40162, than apply into the LCM equation.

GCF(40147,40162) = 1
LCM(40147,40162) = ( 40147 × 40162) / 1
LCM(40147,40162) = 1612383814 / 1
LCM(40147,40162) = 1612383814

Least Common Multiple (LCM) of 40147 and 40162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40147 and 40162. First we will calculate the prime factors of 40147 and 40162.

Prime Factorization of 40147

Prime factors of 40147 are 19, 2113. Prime factorization of 40147 in exponential form is:

40147 = 191 × 21131

Prime Factorization of 40162

Prime factors of 40162 are 2, 43, 467. Prime factorization of 40162 in exponential form is:

40162 = 21 × 431 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 40147 and 40162.

LCM(40147,40162) = 191 × 21131 × 21 × 431 × 4671
LCM(40147,40162) = 1612383814