What is the Least Common Multiple of 25800 and 25815?
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 25800 and 25815 is 44401800.
LCM(25800,25815) = 44401800
Least Common Multiple of 25800 and 25815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25800 and 25815, than apply into the LCM equation.
GCF(25800,25815) = 15
LCM(25800,25815) = ( 25800 × 25815) / 15
LCM(25800,25815) = 666027000 / 15
LCM(25800,25815) = 44401800
Least Common Multiple (LCM) of 25800 and 25815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25800 and 25815. First we will calculate the prime factors of 25800 and 25815.
Prime Factorization of 25800
Prime factors of 25800 are 2, 3, 5, 43. Prime factorization of 25800 in exponential form is:
25800 = 23 × 31 × 52 × 431
Prime Factorization of 25815
Prime factors of 25815 are 3, 5, 1721. Prime factorization of 25815 in exponential form is:
25815 = 31 × 51 × 17211
Now multiplying the highest exponent prime factors to calculate the LCM of 25800 and 25815.
LCM(25800,25815) = 23 × 31 × 52 × 431 × 17211
LCM(25800,25815) = 44401800
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