What is the Least Common Multiple of 22925 and 22929?
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 22925 and 22929 is 525647325.
LCM(22925,22929) = 525647325
Least Common Multiple of 22925 and 22929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22925 and 22929, than apply into the LCM equation.
GCF(22925,22929) = 1
LCM(22925,22929) = ( 22925 × 22929) / 1
LCM(22925,22929) = 525647325 / 1
LCM(22925,22929) = 525647325
Least Common Multiple (LCM) of 22925 and 22929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22925 and 22929. First we will calculate the prime factors of 22925 and 22929.
Prime Factorization of 22925
Prime factors of 22925 are 5, 7, 131. Prime factorization of 22925 in exponential form is:
22925 = 52 × 71 × 1311
Prime Factorization of 22929
Prime factors of 22929 are 3, 7643. Prime factorization of 22929 in exponential form is:
22929 = 31 × 76431
Now multiplying the highest exponent prime factors to calculate the LCM of 22925 and 22929.
LCM(22925,22929) = 52 × 71 × 1311 × 31 × 76431
LCM(22925,22929) = 525647325
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Related Least Common Multiples of 22929
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