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What is the Least Common Multiple of 40201 and 40219?

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 40201 and 40219 is 1616844019.

LCM(40201,40219) = 1616844019

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Least Common Multiple of 40201 and 40219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40201 and 40219, than apply into the LCM equation.

GCF(40201,40219) = 1
LCM(40201,40219) = ( 40201 × 40219) / 1
LCM(40201,40219) = 1616844019 / 1
LCM(40201,40219) = 1616844019

Least Common Multiple (LCM) of 40201 and 40219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40201 and 40219. First we will calculate the prime factors of 40201 and 40219.

Prime Factorization of 40201

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

40201 = 71 × 57431

Prime Factorization of 40219

Prime factors of 40219 are 37, 1087. Prime factorization of 40219 in exponential form is:

40219 = 371 × 10871

Now multiplying the highest exponent prime factors to calculate the LCM of 40201 and 40219.

LCM(40201,40219) = 71 × 57431 × 371 × 10871
LCM(40201,40219) = 1616844019