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What is the Least Common Multiple of 25986 and 25995?

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 25986 and 25995 is 225168690.

LCM(25986,25995) = 225168690

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Least Common Multiple of 25986 and 25995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25986 and 25995, than apply into the LCM equation.

GCF(25986,25995) = 3
LCM(25986,25995) = ( 25986 × 25995) / 3
LCM(25986,25995) = 675506070 / 3
LCM(25986,25995) = 225168690

Least Common Multiple (LCM) of 25986 and 25995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25986 and 25995. First we will calculate the prime factors of 25986 and 25995.

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

Prime Factorization of 25995

Prime factors of 25995 are 3, 5, 1733. Prime factorization of 25995 in exponential form is:

25995 = 31 × 51 × 17331

Now multiplying the highest exponent prime factors to calculate the LCM of 25986 and 25995.

LCM(25986,25995) = 21 × 31 × 611 × 711 × 51 × 17331
LCM(25986,25995) = 225168690