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What is the Least Common Multiple of 25372 and 25380?

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 25372 and 25380 is 160985340.

LCM(25372,25380) = 160985340

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Least Common Multiple of 25372 and 25380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25372 and 25380, than apply into the LCM equation.

GCF(25372,25380) = 4
LCM(25372,25380) = ( 25372 × 25380) / 4
LCM(25372,25380) = 643941360 / 4
LCM(25372,25380) = 160985340

Least Common Multiple (LCM) of 25372 and 25380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25372 and 25380. First we will calculate the prime factors of 25372 and 25380.

Prime Factorization of 25372

Prime factors of 25372 are 2, 6343. Prime factorization of 25372 in exponential form is:

25372 = 22 × 63431

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

Now multiplying the highest exponent prime factors to calculate the LCM of 25372 and 25380.

LCM(25372,25380) = 22 × 63431 × 33 × 51 × 471
LCM(25372,25380) = 160985340