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What is the Least Common Multiple of 25702 and 25721?

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 25702 and 25721 is 661081142.

LCM(25702,25721) = 661081142

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Least Common Multiple of 25702 and 25721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25702 and 25721, than apply into the LCM equation.

GCF(25702,25721) = 1
LCM(25702,25721) = ( 25702 × 25721) / 1
LCM(25702,25721) = 661081142 / 1
LCM(25702,25721) = 661081142

Least Common Multiple (LCM) of 25702 and 25721 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25702 and 25721. First we will calculate the prime factors of 25702 and 25721.

Prime Factorization of 25702

Prime factors of 25702 are 2, 71, 181. Prime factorization of 25702 in exponential form is:

25702 = 21 × 711 × 1811

Prime Factorization of 25721

Prime factors of 25721 are 17, 89. Prime factorization of 25721 in exponential form is:

25721 = 172 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 25702 and 25721.

LCM(25702,25721) = 21 × 711 × 1811 × 172 × 891
LCM(25702,25721) = 661081142