What is the Least Common Multiple of 25425 and 25429?
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 25425 and 25429 is 646532325.
LCM(25425,25429) = 646532325
Least Common Multiple of 25425 and 25429 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25425 and 25429, than apply into the LCM equation.
GCF(25425,25429) = 1
LCM(25425,25429) = ( 25425 × 25429) / 1
LCM(25425,25429) = 646532325 / 1
LCM(25425,25429) = 646532325
Least Common Multiple (LCM) of 25425 and 25429 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25425 and 25429. First we will calculate the prime factors of 25425 and 25429.
Prime Factorization of 25425
Prime factors of 25425 are 3, 5, 113. Prime factorization of 25425 in exponential form is:
25425 = 32 × 52 × 1131
Prime Factorization of 25429
Prime factors of 25429 are 59, 431. Prime factorization of 25429 in exponential form is:
25429 = 591 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 25425 and 25429.
LCM(25425,25429) = 32 × 52 × 1131 × 591 × 4311
LCM(25425,25429) = 646532325
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