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What is the Least Common Multiple of 25968 and 25986?

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 25968 and 25986 is 112467408.

LCM(25968,25986) = 112467408

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Least Common Multiple of 25968 and 25986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25968 and 25986, than apply into the LCM equation.

GCF(25968,25986) = 6
LCM(25968,25986) = ( 25968 × 25986) / 6
LCM(25968,25986) = 674804448 / 6
LCM(25968,25986) = 112467408

Least Common Multiple (LCM) of 25968 and 25986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25968 and 25986. First we will calculate the prime factors of 25968 and 25986.

Prime Factorization of 25968

Prime factors of 25968 are 2, 3, 541. Prime factorization of 25968 in exponential form is:

25968 = 24 × 31 × 5411

Prime Factorization of 25986

Prime factors of 25986 are 2, 3, 61, 71. Prime factorization of 25986 in exponential form is:

25986 = 21 × 31 × 611 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 25968 and 25986.

LCM(25968,25986) = 24 × 31 × 5411 × 611 × 711
LCM(25968,25986) = 112467408