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What is the Least Common Multiple of 25692 and 25712?

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 25712 is 165148176.

LCM(25692,25712) = 165148176

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Least Common Multiple of 25692 and 25712 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 25712, than apply into the LCM equation.

GCF(25692,25712) = 4
LCM(25692,25712) = ( 25692 × 25712) / 4
LCM(25692,25712) = 660592704 / 4
LCM(25692,25712) = 165148176

Least Common Multiple (LCM) of 25692 and 25712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25692 and 25712. First we will calculate the prime factors of 25692 and 25712.

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 25712

Prime factors of 25712 are 2, 1607. Prime factorization of 25712 in exponential form is:

25712 = 24 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 25692 and 25712.

LCM(25692,25712) = 24 × 31 × 21411 × 16071
LCM(25692,25712) = 165148176