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What is the Least Common Multiple of 25624 and 25644?

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 25624 and 25644 is 164275464.

LCM(25624,25644) = 164275464

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Least Common Multiple of 25624 and 25644 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25624 and 25644, than apply into the LCM equation.

GCF(25624,25644) = 4
LCM(25624,25644) = ( 25624 × 25644) / 4
LCM(25624,25644) = 657101856 / 4
LCM(25624,25644) = 164275464

Least Common Multiple (LCM) of 25624 and 25644 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25624 and 25644. First we will calculate the prime factors of 25624 and 25644.

Prime Factorization of 25624

Prime factors of 25624 are 2, 3203. Prime factorization of 25624 in exponential form is:

25624 = 23 × 32031

Prime Factorization of 25644

Prime factors of 25644 are 2, 3, 2137. Prime factorization of 25644 in exponential form is:

25644 = 22 × 31 × 21371

Now multiplying the highest exponent prime factors to calculate the LCM of 25624 and 25644.

LCM(25624,25644) = 23 × 32031 × 31 × 21371
LCM(25624,25644) = 164275464