What is the Least Common Multiple of 25430 and 25444?
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 25430 and 25444 is 323520460.
LCM(25430,25444) = 323520460
Least Common Multiple of 25430 and 25444 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25430 and 25444, than apply into the LCM equation.
GCF(25430,25444) = 2
LCM(25430,25444) = ( 25430 × 25444) / 2
LCM(25430,25444) = 647040920 / 2
LCM(25430,25444) = 323520460
Least Common Multiple (LCM) of 25430 and 25444 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25430 and 25444. First we will calculate the prime factors of 25430 and 25444.
Prime Factorization of 25430
Prime factors of 25430 are 2, 5, 2543. Prime factorization of 25430 in exponential form is:
25430 = 21 × 51 × 25431
Prime Factorization of 25444
Prime factors of 25444 are 2, 6361. Prime factorization of 25444 in exponential form is:
25444 = 22 × 63611
Now multiplying the highest exponent prime factors to calculate the LCM of 25430 and 25444.
LCM(25430,25444) = 22 × 51 × 25431 × 63611
LCM(25430,25444) = 323520460
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