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What is the Least Common Multiple of 25950 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 25950 and 25965 is 44919450.

LCM(25950,25965) = 44919450

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Least Common Multiple of 25950 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 25950 and 25965, than apply into the LCM equation.

GCF(25950,25965) = 15
LCM(25950,25965) = ( 25950 × 25965) / 15
LCM(25950,25965) = 673791750 / 15
LCM(25950,25965) = 44919450

Least Common Multiple (LCM) of 25950 and 25965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25950 and 25965. First we will calculate the prime factors of 25950 and 25965.

Prime Factorization of 25950

Prime factors of 25950 are 2, 3, 5, 173. Prime factorization of 25950 in exponential form is:

25950 = 21 × 31 × 52 × 1731

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 25950 and 25965.

LCM(25950,25965) = 21 × 32 × 52 × 1731 × 5771
LCM(25950,25965) = 44919450