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What is the Least Common Multiple of 25717 and 25737?

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 25717 and 25737 is 661878429.

LCM(25717,25737) = 661878429

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Least Common Multiple of 25717 and 25737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25717 and 25737, than apply into the LCM equation.

GCF(25717,25737) = 1
LCM(25717,25737) = ( 25717 × 25737) / 1
LCM(25717,25737) = 661878429 / 1
LCM(25717,25737) = 661878429

Least Common Multiple (LCM) of 25717 and 25737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25717 and 25737. First we will calculate the prime factors of 25717 and 25737.

Prime Factorization of 25717

Prime factors of 25717 are 25717. Prime factorization of 25717 in exponential form is:

25717 = 257171

Prime Factorization of 25737

Prime factors of 25737 are 3, 23, 373. Prime factorization of 25737 in exponential form is:

25737 = 31 × 231 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 25717 and 25737.

LCM(25717,25737) = 257171 × 31 × 231 × 3731
LCM(25717,25737) = 661878429