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What is the Least Common Multiple of 25685 and 25705?

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 25685 and 25705 is 132046585.

LCM(25685,25705) = 132046585

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Least Common Multiple of 25685 and 25705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25685 and 25705, than apply into the LCM equation.

GCF(25685,25705) = 5
LCM(25685,25705) = ( 25685 × 25705) / 5
LCM(25685,25705) = 660232925 / 5
LCM(25685,25705) = 132046585

Least Common Multiple (LCM) of 25685 and 25705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25685 and 25705. First we will calculate the prime factors of 25685 and 25705.

Prime Factorization of 25685

Prime factors of 25685 are 5, 11, 467. Prime factorization of 25685 in exponential form is:

25685 = 51 × 111 × 4671

Prime Factorization of 25705

Prime factors of 25705 are 5, 53, 97. Prime factorization of 25705 in exponential form is:

25705 = 51 × 531 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 25685 and 25705.

LCM(25685,25705) = 51 × 111 × 4671 × 531 × 971
LCM(25685,25705) = 132046585