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What is the Least Common Multiple of 25949 and 25965?

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 25949 and 25965 is 673765785.

LCM(25949,25965) = 673765785

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Least Common Multiple of 25949 and 25965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25949 and 25965, than apply into the LCM equation.

GCF(25949,25965) = 1
LCM(25949,25965) = ( 25949 × 25965) / 1
LCM(25949,25965) = 673765785 / 1
LCM(25949,25965) = 673765785

Least Common Multiple (LCM) of 25949 and 25965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25949 and 25965. First we will calculate the prime factors of 25949 and 25965.

Prime Factorization of 25949

Prime factors of 25949 are 7, 11, 337. Prime factorization of 25949 in exponential form is:

25949 = 71 × 111 × 3371

Prime Factorization of 25965

Prime factors of 25965 are 3, 5, 577. Prime factorization of 25965 in exponential form is:

25965 = 32 × 51 × 5771

Now multiplying the highest exponent prime factors to calculate the LCM of 25949 and 25965.

LCM(25949,25965) = 71 × 111 × 3371 × 32 × 51 × 5771
LCM(25949,25965) = 673765785