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What is the Least Common Multiple of 25460 and 25466?

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 25460 and 25466 is 324182180.

LCM(25460,25466) = 324182180

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Least Common Multiple of 25460 and 25466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25460 and 25466, than apply into the LCM equation.

GCF(25460,25466) = 2
LCM(25460,25466) = ( 25460 × 25466) / 2
LCM(25460,25466) = 648364360 / 2
LCM(25460,25466) = 324182180

Least Common Multiple (LCM) of 25460 and 25466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25460 and 25466. First we will calculate the prime factors of 25460 and 25466.

Prime Factorization of 25460

Prime factors of 25460 are 2, 5, 19, 67. Prime factorization of 25460 in exponential form is:

25460 = 22 × 51 × 191 × 671

Prime Factorization of 25466

Prime factors of 25466 are 2, 7, 17, 107. Prime factorization of 25466 in exponential form is:

25466 = 21 × 71 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 25460 and 25466.

LCM(25460,25466) = 22 × 51 × 191 × 671 × 71 × 171 × 1071
LCM(25460,25466) = 324182180