What is the Least Common Multiple of 25371 and 25388?
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 25371 and 25388 is 644118948.
LCM(25371,25388) = 644118948
Least Common Multiple of 25371 and 25388 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25371 and 25388, than apply into the LCM equation.
GCF(25371,25388) = 1
LCM(25371,25388) = ( 25371 × 25388) / 1
LCM(25371,25388) = 644118948 / 1
LCM(25371,25388) = 644118948
Least Common Multiple (LCM) of 25371 and 25388 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25371 and 25388. First we will calculate the prime factors of 25371 and 25388.
Prime Factorization of 25371
Prime factors of 25371 are 3, 2819. Prime factorization of 25371 in exponential form is:
25371 = 32 × 28191
Prime Factorization of 25388
Prime factors of 25388 are 2, 11, 577. Prime factorization of 25388 in exponential form is:
25388 = 22 × 111 × 5771
Now multiplying the highest exponent prime factors to calculate the LCM of 25371 and 25388.
LCM(25371,25388) = 32 × 28191 × 22 × 111 × 5771
LCM(25371,25388) = 644118948
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