What is the Least Common Multiple of 25956 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 25956 and 25965 is 74883060.
LCM(25956,25965) = 74883060
Least Common Multiple of 25956 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 25956 and 25965, than apply into the LCM equation.
GCF(25956,25965) = 9
LCM(25956,25965) = ( 25956 × 25965) / 9
LCM(25956,25965) = 673947540 / 9
LCM(25956,25965) = 74883060
Least Common Multiple (LCM) of 25956 and 25965 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25956 and 25965. First we will calculate the prime factors of 25956 and 25965.
Prime Factorization of 25956
Prime factors of 25956 are 2, 3, 7, 103. Prime factorization of 25956 in exponential form is:
25956 = 22 × 32 × 71 × 1031
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 25956 and 25965.
LCM(25956,25965) = 22 × 32 × 71 × 1031 × 51 × 5771
LCM(25956,25965) = 74883060
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