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What is the Least Common Multiple of 25377 and 25391?

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 25377 and 25391 is 644347407.

LCM(25377,25391) = 644347407

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Least Common Multiple of 25377 and 25391 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25377 and 25391, than apply into the LCM equation.

GCF(25377,25391) = 1
LCM(25377,25391) = ( 25377 × 25391) / 1
LCM(25377,25391) = 644347407 / 1
LCM(25377,25391) = 644347407

Least Common Multiple (LCM) of 25377 and 25391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25377 and 25391. First we will calculate the prime factors of 25377 and 25391.

Prime Factorization of 25377

Prime factors of 25377 are 3, 11, 769. Prime factorization of 25377 in exponential form is:

25377 = 31 × 111 × 7691

Prime Factorization of 25391

Prime factors of 25391 are 25391. Prime factorization of 25391 in exponential form is:

25391 = 253911

Now multiplying the highest exponent prime factors to calculate the LCM of 25377 and 25391.

LCM(25377,25391) = 31 × 111 × 7691 × 253911
LCM(25377,25391) = 644347407