What is the Least Common Multiple of 25788 and 25806?
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 25788 and 25806 is 110914188.
LCM(25788,25806) = 110914188
Least Common Multiple of 25788 and 25806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25788 and 25806, than apply into the LCM equation.
GCF(25788,25806) = 6
LCM(25788,25806) = ( 25788 × 25806) / 6
LCM(25788,25806) = 665485128 / 6
LCM(25788,25806) = 110914188
Least Common Multiple (LCM) of 25788 and 25806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25788 and 25806. First we will calculate the prime factors of 25788 and 25806.
Prime Factorization of 25788
Prime factors of 25788 are 2, 3, 7, 307. Prime factorization of 25788 in exponential form is:
25788 = 22 × 31 × 71 × 3071
Prime Factorization of 25806
Prime factors of 25806 are 2, 3, 11, 17, 23. Prime factorization of 25806 in exponential form is:
25806 = 21 × 31 × 111 × 171 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 25788 and 25806.
LCM(25788,25806) = 22 × 31 × 71 × 3071 × 111 × 171 × 231
LCM(25788,25806) = 110914188
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