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What is the Least Common Multiple of 25485 and 25492?

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 25485 and 25492 is 649663620.

LCM(25485,25492) = 649663620

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Least Common Multiple of 25485 and 25492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25485 and 25492, than apply into the LCM equation.

GCF(25485,25492) = 1
LCM(25485,25492) = ( 25485 × 25492) / 1
LCM(25485,25492) = 649663620 / 1
LCM(25485,25492) = 649663620

Least Common Multiple (LCM) of 25485 and 25492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25485 and 25492. First we will calculate the prime factors of 25485 and 25492.

Prime Factorization of 25485

Prime factors of 25485 are 3, 5, 1699. Prime factorization of 25485 in exponential form is:

25485 = 31 × 51 × 16991

Prime Factorization of 25492

Prime factors of 25492 are 2, 6373. Prime factorization of 25492 in exponential form is:

25492 = 22 × 63731

Now multiplying the highest exponent prime factors to calculate the LCM of 25485 and 25492.

LCM(25485,25492) = 31 × 51 × 16991 × 22 × 63731
LCM(25485,25492) = 649663620