What is the Least Common Multiple of 25486 and 25495?
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 25486 and 25495 is 649765570.
LCM(25486,25495) = 649765570
Least Common Multiple of 25486 and 25495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25486 and 25495, than apply into the LCM equation.
GCF(25486,25495) = 1
LCM(25486,25495) = ( 25486 × 25495) / 1
LCM(25486,25495) = 649765570 / 1
LCM(25486,25495) = 649765570
Least Common Multiple (LCM) of 25486 and 25495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25486 and 25495. First we will calculate the prime factors of 25486 and 25495.
Prime Factorization of 25486
Prime factors of 25486 are 2, 12743. Prime factorization of 25486 in exponential form is:
25486 = 21 × 127431
Prime Factorization of 25495
Prime factors of 25495 are 5, 5099. Prime factorization of 25495 in exponential form is:
25495 = 51 × 50991
Now multiplying the highest exponent prime factors to calculate the LCM of 25486 and 25495.
LCM(25486,25495) = 21 × 127431 × 51 × 50991
LCM(25486,25495) = 649765570
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