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What is the Least Common Multiple of 25466 and 25470?

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 25466 and 25470 is 324309510.

LCM(25466,25470) = 324309510

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Least Common Multiple of 25466 and 25470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25466 and 25470, than apply into the LCM equation.

GCF(25466,25470) = 2
LCM(25466,25470) = ( 25466 × 25470) / 2
LCM(25466,25470) = 648619020 / 2
LCM(25466,25470) = 324309510

Least Common Multiple (LCM) of 25466 and 25470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25466 and 25470. First we will calculate the prime factors of 25466 and 25470.

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

Prime Factorization of 25470

Prime factors of 25470 are 2, 3, 5, 283. Prime factorization of 25470 in exponential form is:

25470 = 21 × 32 × 51 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 25466 and 25470.

LCM(25466,25470) = 21 × 71 × 171 × 1071 × 32 × 51 × 2831
LCM(25466,25470) = 324309510