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What is the Least Common Multiple of 25355 and 25366?

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 25355 and 25366 is 58468630.

LCM(25355,25366) = 58468630

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Least Common Multiple of 25355 and 25366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25355 and 25366, than apply into the LCM equation.

GCF(25355,25366) = 11
LCM(25355,25366) = ( 25355 × 25366) / 11
LCM(25355,25366) = 643154930 / 11
LCM(25355,25366) = 58468630

Least Common Multiple (LCM) of 25355 and 25366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25355 and 25366. First we will calculate the prime factors of 25355 and 25366.

Prime Factorization of 25355

Prime factors of 25355 are 5, 11, 461. Prime factorization of 25355 in exponential form is:

25355 = 51 × 111 × 4611

Prime Factorization of 25366

Prime factors of 25366 are 2, 11, 1153. Prime factorization of 25366 in exponential form is:

25366 = 21 × 111 × 11531

Now multiplying the highest exponent prime factors to calculate the LCM of 25355 and 25366.

LCM(25355,25366) = 51 × 111 × 4611 × 21 × 11531
LCM(25355,25366) = 58468630