What is the Least Common Multiple of 25367 and 25378?
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 25378 is 643763726.
LCM(25367,25378) = 643763726
Least Common Multiple of 25367 and 25378 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 25378, than apply into the LCM equation.
GCF(25367,25378) = 1
LCM(25367,25378) = ( 25367 × 25378) / 1
LCM(25367,25378) = 643763726 / 1
LCM(25367,25378) = 643763726
Least Common Multiple (LCM) of 25367 and 25378 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25367 and 25378. First we will calculate the prime factors of 25367 and 25378.
Prime Factorization of 25367
Prime factors of 25367 are 25367. Prime factorization of 25367 in exponential form is:
25367 = 253671
Prime Factorization of 25378
Prime factors of 25378 are 2, 12689. Prime factorization of 25378 in exponential form is:
25378 = 21 × 126891
Now multiplying the highest exponent prime factors to calculate the LCM of 25367 and 25378.
LCM(25367,25378) = 253671 × 21 × 126891
LCM(25367,25378) = 643763726
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