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What is the Least Common Multiple of 25332 and 25340?

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 25332 and 25340 is 160478220.

LCM(25332,25340) = 160478220

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Least Common Multiple of 25332 and 25340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25332 and 25340, than apply into the LCM equation.

GCF(25332,25340) = 4
LCM(25332,25340) = ( 25332 × 25340) / 4
LCM(25332,25340) = 641912880 / 4
LCM(25332,25340) = 160478220

Least Common Multiple (LCM) of 25332 and 25340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25332 and 25340. First we will calculate the prime factors of 25332 and 25340.

Prime Factorization of 25332

Prime factors of 25332 are 2, 3, 2111. Prime factorization of 25332 in exponential form is:

25332 = 22 × 31 × 21111

Prime Factorization of 25340

Prime factors of 25340 are 2, 5, 7, 181. Prime factorization of 25340 in exponential form is:

25340 = 22 × 51 × 71 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 25332 and 25340.

LCM(25332,25340) = 22 × 31 × 21111 × 51 × 71 × 1811
LCM(25332,25340) = 160478220