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What is the Least Common Multiple of 25750 and 25764?

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 25750 and 25764 is 331711500.

LCM(25750,25764) = 331711500

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Least Common Multiple of 25750 and 25764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25750 and 25764, than apply into the LCM equation.

GCF(25750,25764) = 2
LCM(25750,25764) = ( 25750 × 25764) / 2
LCM(25750,25764) = 663423000 / 2
LCM(25750,25764) = 331711500

Least Common Multiple (LCM) of 25750 and 25764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25750 and 25764. First we will calculate the prime factors of 25750 and 25764.

Prime Factorization of 25750

Prime factors of 25750 are 2, 5, 103. Prime factorization of 25750 in exponential form is:

25750 = 21 × 53 × 1031

Prime Factorization of 25764

Prime factors of 25764 are 2, 3, 19, 113. Prime factorization of 25764 in exponential form is:

25764 = 22 × 31 × 191 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 25750 and 25764.

LCM(25750,25764) = 22 × 53 × 1031 × 31 × 191 × 1131
LCM(25750,25764) = 331711500