What is the Least Common Multiple of 25372 and 25377?
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 25372 and 25377 is 643865244.
LCM(25372,25377) = 643865244
Least Common Multiple of 25372 and 25377 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25372 and 25377, than apply into the LCM equation.
GCF(25372,25377) = 1
LCM(25372,25377) = ( 25372 × 25377) / 1
LCM(25372,25377) = 643865244 / 1
LCM(25372,25377) = 643865244
Least Common Multiple (LCM) of 25372 and 25377 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25372 and 25377. First we will calculate the prime factors of 25372 and 25377.
Prime Factorization of 25372
Prime factors of 25372 are 2, 6343. Prime factorization of 25372 in exponential form is:
25372 = 22 × 63431
Prime Factorization of 25377
Prime factors of 25377 are 3, 11, 769. Prime factorization of 25377 in exponential form is:
25377 = 31 × 111 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 25372 and 25377.
LCM(25372,25377) = 22 × 63431 × 31 × 111 × 7691
LCM(25372,25377) = 643865244
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