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What is the Least Common Multiple of 25194 and 25201?

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 25194 and 25201 is 634913994.

LCM(25194,25201) = 634913994

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Least Common Multiple of 25194 and 25201 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25194 and 25201, than apply into the LCM equation.

GCF(25194,25201) = 1
LCM(25194,25201) = ( 25194 × 25201) / 1
LCM(25194,25201) = 634913994 / 1
LCM(25194,25201) = 634913994

Least Common Multiple (LCM) of 25194 and 25201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25194 and 25201. First we will calculate the prime factors of 25194 and 25201.

Prime Factorization of 25194

Prime factors of 25194 are 2, 3, 13, 17, 19. Prime factorization of 25194 in exponential form is:

25194 = 21 × 31 × 131 × 171 × 191

Prime Factorization of 25201

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

25201 = 111 × 291 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 25194 and 25201.

LCM(25194,25201) = 21 × 31 × 131 × 171 × 191 × 111 × 291 × 791
LCM(25194,25201) = 634913994