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What is the Least Common Multiple of 25193 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 25193 and 25201 is 634888793.

LCM(25193,25201) = 634888793

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Least Common Multiple of 25193 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 25193 and 25201, than apply into the LCM equation.

GCF(25193,25201) = 1
LCM(25193,25201) = ( 25193 × 25201) / 1
LCM(25193,25201) = 634888793 / 1
LCM(25193,25201) = 634888793

Least Common Multiple (LCM) of 25193 and 25201 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25193 and 25201. First we will calculate the prime factors of 25193 and 25201.

Prime Factorization of 25193

Prime factors of 25193 are 7, 59, 61. Prime factorization of 25193 in exponential form is:

25193 = 71 × 591 × 611

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 25193 and 25201.

LCM(25193,25201) = 71 × 591 × 611 × 111 × 291 × 791
LCM(25193,25201) = 634888793