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What is the Least Common Multiple of 40187 and 40201?

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 40187 and 40201 is 230793941.

LCM(40187,40201) = 230793941

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Least Common Multiple of 40187 and 40201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40187 and 40201, than apply into the LCM equation.

GCF(40187,40201) = 7
LCM(40187,40201) = ( 40187 × 40201) / 7
LCM(40187,40201) = 1615557587 / 7
LCM(40187,40201) = 230793941

Least Common Multiple (LCM) of 40187 and 40201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40187 and 40201. First we will calculate the prime factors of 40187 and 40201.

Prime Factorization of 40187

Prime factors of 40187 are 7, 5741. Prime factorization of 40187 in exponential form is:

40187 = 71 × 57411

Prime Factorization of 40201

Prime factors of 40201 are 7, 5743. Prime factorization of 40201 in exponential form is:

40201 = 71 × 57431

Now multiplying the highest exponent prime factors to calculate the LCM of 40187 and 40201.

LCM(40187,40201) = 71 × 57411 × 57431
LCM(40187,40201) = 230793941