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What is the Least Common Multiple of 25572 and 25592?

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 25572 and 25592 is 163609656.

LCM(25572,25592) = 163609656

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Least Common Multiple of 25572 and 25592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25572 and 25592, than apply into the LCM equation.

GCF(25572,25592) = 4
LCM(25572,25592) = ( 25572 × 25592) / 4
LCM(25572,25592) = 654438624 / 4
LCM(25572,25592) = 163609656

Least Common Multiple (LCM) of 25572 and 25592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25572 and 25592. First we will calculate the prime factors of 25572 and 25592.

Prime Factorization of 25572

Prime factors of 25572 are 2, 3, 2131. Prime factorization of 25572 in exponential form is:

25572 = 22 × 31 × 21311

Prime Factorization of 25592

Prime factors of 25592 are 2, 7, 457. Prime factorization of 25592 in exponential form is:

25592 = 23 × 71 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 25572 and 25592.

LCM(25572,25592) = 23 × 31 × 21311 × 71 × 4571
LCM(25572,25592) = 163609656