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What is the Least Common Multiple of 25201 and 25219?

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 25201 and 25219 is 635544019.

LCM(25201,25219) = 635544019

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Least Common Multiple of 25201 and 25219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25201 and 25219, than apply into the LCM equation.

GCF(25201,25219) = 1
LCM(25201,25219) = ( 25201 × 25219) / 1
LCM(25201,25219) = 635544019 / 1
LCM(25201,25219) = 635544019

Least Common Multiple (LCM) of 25201 and 25219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25201 and 25219. First we will calculate the prime factors of 25201 and 25219.

Prime Factorization of 25201

Prime factors of 25201 are 11, 29, 79. Prime factorization of 25201 in exponential form is:

25201 = 111 × 291 × 791

Prime Factorization of 25219

Prime factors of 25219 are 25219. Prime factorization of 25219 in exponential form is:

25219 = 252191

Now multiplying the highest exponent prime factors to calculate the LCM of 25201 and 25219.

LCM(25201,25219) = 111 × 291 × 791 × 252191
LCM(25201,25219) = 635544019