What is the Least Common Multiple of 25376 and 25380?
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 25376 and 25380 is 161010720.
LCM(25376,25380) = 161010720
Least Common Multiple of 25376 and 25380 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25376 and 25380, than apply into the LCM equation.
GCF(25376,25380) = 4
LCM(25376,25380) = ( 25376 × 25380) / 4
LCM(25376,25380) = 644042880 / 4
LCM(25376,25380) = 161010720
Least Common Multiple (LCM) of 25376 and 25380 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25376 and 25380. First we will calculate the prime factors of 25376 and 25380.
Prime Factorization of 25376
Prime factors of 25376 are 2, 13, 61. Prime factorization of 25376 in exponential form is:
25376 = 25 × 131 × 611
Prime Factorization of 25380
Prime factors of 25380 are 2, 3, 5, 47. Prime factorization of 25380 in exponential form is:
25380 = 22 × 33 × 51 × 471
Now multiplying the highest exponent prime factors to calculate the LCM of 25376 and 25380.
LCM(25376,25380) = 25 × 131 × 611 × 33 × 51 × 471
LCM(25376,25380) = 161010720
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