What is the Least Common Multiple of 25367 and 25372?
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 25367 and 25372 is 643611524.
LCM(25367,25372) = 643611524
Least Common Multiple of 25367 and 25372 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25367 and 25372, than apply into the LCM equation.
GCF(25367,25372) = 1
LCM(25367,25372) = ( 25367 × 25372) / 1
LCM(25367,25372) = 643611524 / 1
LCM(25367,25372) = 643611524
Least Common Multiple (LCM) of 25367 and 25372 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25367 and 25372. First we will calculate the prime factors of 25367 and 25372.
Prime Factorization of 25367
Prime factors of 25367 are 25367. Prime factorization of 25367 in exponential form is:
25367 = 253671
Prime Factorization of 25372
Prime factors of 25372 are 2, 6343. Prime factorization of 25372 in exponential form is:
25372 = 22 × 63431
Now multiplying the highest exponent prime factors to calculate the LCM of 25367 and 25372.
LCM(25367,25372) = 253671 × 22 × 63431
LCM(25367,25372) = 643611524
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