What is the Least Common Multiple of 25985 and 25996?
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 25985 and 25996 is 675506060.
LCM(25985,25996) = 675506060
Least Common Multiple of 25985 and 25996 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25985 and 25996, than apply into the LCM equation.
GCF(25985,25996) = 1
LCM(25985,25996) = ( 25985 × 25996) / 1
LCM(25985,25996) = 675506060 / 1
LCM(25985,25996) = 675506060
Least Common Multiple (LCM) of 25985 and 25996 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25985 and 25996. First we will calculate the prime factors of 25985 and 25996.
Prime Factorization of 25985
Prime factors of 25985 are 5, 5197. Prime factorization of 25985 in exponential form is:
25985 = 51 × 51971
Prime Factorization of 25996
Prime factors of 25996 are 2, 67, 97. Prime factorization of 25996 in exponential form is:
25996 = 22 × 671 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 25985 and 25996.
LCM(25985,25996) = 51 × 51971 × 22 × 671 × 971
LCM(25985,25996) = 675506060
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