What is the Least Common Multiple of 25435 and 25443?
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 25435 and 25443 is 647142705.
LCM(25435,25443) = 647142705
Least Common Multiple of 25435 and 25443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25435 and 25443, than apply into the LCM equation.
GCF(25435,25443) = 1
LCM(25435,25443) = ( 25435 × 25443) / 1
LCM(25435,25443) = 647142705 / 1
LCM(25435,25443) = 647142705
Least Common Multiple (LCM) of 25435 and 25443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25435 and 25443. First we will calculate the prime factors of 25435 and 25443.
Prime Factorization of 25435
Prime factors of 25435 are 5, 5087. Prime factorization of 25435 in exponential form is:
25435 = 51 × 50871
Prime Factorization of 25443
Prime factors of 25443 are 3, 11, 257. Prime factorization of 25443 in exponential form is:
25443 = 32 × 111 × 2571
Now multiplying the highest exponent prime factors to calculate the LCM of 25435 and 25443.
LCM(25435,25443) = 51 × 50871 × 32 × 111 × 2571
LCM(25435,25443) = 647142705
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