What is the Least Common Multiple of 25427 and 25434?
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 25427 and 25434 is 646710318.
LCM(25427,25434) = 646710318
Least Common Multiple of 25427 and 25434 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25427 and 25434, than apply into the LCM equation.
GCF(25427,25434) = 1
LCM(25427,25434) = ( 25427 × 25434) / 1
LCM(25427,25434) = 646710318 / 1
LCM(25427,25434) = 646710318
Least Common Multiple (LCM) of 25427 and 25434 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25427 and 25434. First we will calculate the prime factors of 25427 and 25434.
Prime Factorization of 25427
Prime factors of 25427 are 47, 541. Prime factorization of 25427 in exponential form is:
25427 = 471 × 5411
Prime Factorization of 25434
Prime factors of 25434 are 2, 3, 157. Prime factorization of 25434 in exponential form is:
25434 = 21 × 34 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 25427 and 25434.
LCM(25427,25434) = 471 × 5411 × 21 × 34 × 1571
LCM(25427,25434) = 646710318
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