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What is the Least Common Multiple of 25692 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 25692 and 25705 is 660412860.

LCM(25692,25705) = 660412860

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Least Common Multiple of 25692 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 25692 and 25705, than apply into the LCM equation.

GCF(25692,25705) = 1
LCM(25692,25705) = ( 25692 × 25705) / 1
LCM(25692,25705) = 660412860 / 1
LCM(25692,25705) = 660412860

Least Common Multiple (LCM) of 25692 and 25705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25692 and 25705. First we will calculate the prime factors of 25692 and 25705.

Prime Factorization of 25692

Prime factors of 25692 are 2, 3, 2141. Prime factorization of 25692 in exponential form is:

25692 = 22 × 31 × 21411

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 25692 and 25705.

LCM(25692,25705) = 22 × 31 × 21411 × 51 × 531 × 971
LCM(25692,25705) = 660412860