What is the Least Common Multiple of 25381 and 25390?
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 25381 and 25390 is 644423590.
LCM(25381,25390) = 644423590
Least Common Multiple of 25381 and 25390 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25381 and 25390, than apply into the LCM equation.
GCF(25381,25390) = 1
LCM(25381,25390) = ( 25381 × 25390) / 1
LCM(25381,25390) = 644423590 / 1
LCM(25381,25390) = 644423590
Least Common Multiple (LCM) of 25381 and 25390 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25381 and 25390. First we will calculate the prime factors of 25381 and 25390.
Prime Factorization of 25381
Prime factors of 25381 are 17, 1493. Prime factorization of 25381 in exponential form is:
25381 = 171 × 14931
Prime Factorization of 25390
Prime factors of 25390 are 2, 5, 2539. Prime factorization of 25390 in exponential form is:
25390 = 21 × 51 × 25391
Now multiplying the highest exponent prime factors to calculate the LCM of 25381 and 25390.
LCM(25381,25390) = 171 × 14931 × 21 × 51 × 25391
LCM(25381,25390) = 644423590
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