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What is the Least Common Multiple of 25545 and 25560?

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 25545 and 25560 is 43528680.

LCM(25545,25560) = 43528680

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Least Common Multiple of 25545 and 25560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25545 and 25560, than apply into the LCM equation.

GCF(25545,25560) = 15
LCM(25545,25560) = ( 25545 × 25560) / 15
LCM(25545,25560) = 652930200 / 15
LCM(25545,25560) = 43528680

Least Common Multiple (LCM) of 25545 and 25560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25545 and 25560. First we will calculate the prime factors of 25545 and 25560.

Prime Factorization of 25545

Prime factors of 25545 are 3, 5, 13, 131. Prime factorization of 25545 in exponential form is:

25545 = 31 × 51 × 131 × 1311

Prime Factorization of 25560

Prime factors of 25560 are 2, 3, 5, 71. Prime factorization of 25560 in exponential form is:

25560 = 23 × 32 × 51 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 25545 and 25560.

LCM(25545,25560) = 32 × 51 × 131 × 1311 × 23 × 711
LCM(25545,25560) = 43528680