What is the Least Common Multiple of 25374 and 25387?
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 25374 and 25387 is 644169738.
LCM(25374,25387) = 644169738
Least Common Multiple of 25374 and 25387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25374 and 25387, than apply into the LCM equation.
GCF(25374,25387) = 1
LCM(25374,25387) = ( 25374 × 25387) / 1
LCM(25374,25387) = 644169738 / 1
LCM(25374,25387) = 644169738
Least Common Multiple (LCM) of 25374 and 25387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25374 and 25387. First we will calculate the prime factors of 25374 and 25387.
Prime Factorization of 25374
Prime factors of 25374 are 2, 3, 4229. Prime factorization of 25374 in exponential form is:
25374 = 21 × 31 × 42291
Prime Factorization of 25387
Prime factors of 25387 are 53, 479. Prime factorization of 25387 in exponential form is:
25387 = 531 × 4791
Now multiplying the highest exponent prime factors to calculate the LCM of 25374 and 25387.
LCM(25374,25387) = 21 × 31 × 42291 × 531 × 4791
LCM(25374,25387) = 644169738
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