What is the Least Common Multiple of 25385 and 25402?
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 25385 and 25402 is 644829770.
LCM(25385,25402) = 644829770
Least Common Multiple of 25385 and 25402 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25385 and 25402, than apply into the LCM equation.
GCF(25385,25402) = 1
LCM(25385,25402) = ( 25385 × 25402) / 1
LCM(25385,25402) = 644829770 / 1
LCM(25385,25402) = 644829770
Least Common Multiple (LCM) of 25385 and 25402 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25385 and 25402. First we will calculate the prime factors of 25385 and 25402.
Prime Factorization of 25385
Prime factors of 25385 are 5, 5077. Prime factorization of 25385 in exponential form is:
25385 = 51 × 50771
Prime Factorization of 25402
Prime factors of 25402 are 2, 13, 977. Prime factorization of 25402 in exponential form is:
25402 = 21 × 131 × 9771
Now multiplying the highest exponent prime factors to calculate the LCM of 25385 and 25402.
LCM(25385,25402) = 51 × 50771 × 21 × 131 × 9771
LCM(25385,25402) = 644829770
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