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What is the Least Common Multiple of 25752 and 25770?

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 25752 and 25770 is 110604840.

LCM(25752,25770) = 110604840

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Least Common Multiple of 25752 and 25770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25752 and 25770, than apply into the LCM equation.

GCF(25752,25770) = 6
LCM(25752,25770) = ( 25752 × 25770) / 6
LCM(25752,25770) = 663629040 / 6
LCM(25752,25770) = 110604840

Least Common Multiple (LCM) of 25752 and 25770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25752 and 25770. First we will calculate the prime factors of 25752 and 25770.

Prime Factorization of 25752

Prime factors of 25752 are 2, 3, 29, 37. Prime factorization of 25752 in exponential form is:

25752 = 23 × 31 × 291 × 371

Prime Factorization of 25770

Prime factors of 25770 are 2, 3, 5, 859. Prime factorization of 25770 in exponential form is:

25770 = 21 × 31 × 51 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 25752 and 25770.

LCM(25752,25770) = 23 × 31 × 291 × 371 × 51 × 8591
LCM(25752,25770) = 110604840