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What is the Least Common Multiple of 25380 and 25384?

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 25380 and 25384 is 161061480.

LCM(25380,25384) = 161061480

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Least Common Multiple of 25380 and 25384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25380 and 25384, than apply into the LCM equation.

GCF(25380,25384) = 4
LCM(25380,25384) = ( 25380 × 25384) / 4
LCM(25380,25384) = 644245920 / 4
LCM(25380,25384) = 161061480

Least Common Multiple (LCM) of 25380 and 25384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25380 and 25384. First we will calculate the prime factors of 25380 and 25384.

Prime Factorization of 25380

Prime factors of 25380 are 2, 3, 5, 47. Prime factorization of 25380 in exponential form is:

25380 = 22 × 33 × 51 × 471

Prime Factorization of 25384

Prime factors of 25384 are 2, 19, 167. Prime factorization of 25384 in exponential form is:

25384 = 23 × 191 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 25380 and 25384.

LCM(25380,25384) = 23 × 33 × 51 × 471 × 191 × 1671
LCM(25380,25384) = 161061480