What is the Least Common Multiple of 923 and 929?
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 923 and 929 is 857467.
LCM(923,929) = 857467
Least Common Multiple of 923 and 929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 923 and 929, than apply into the LCM equation.
GCF(923,929) = 1
LCM(923,929) = ( 923 × 929) / 1
LCM(923,929) = 857467 / 1
LCM(923,929) = 857467
Least Common Multiple (LCM) of 923 and 929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 929. First we will calculate the prime factors of 923 and 929.
Prime Factorization of 923
Prime factors of 923 are 13, 71. Prime factorization of 923 in exponential form is:
923 = 131 × 711
Prime Factorization of 929
Prime factors of 929 are 929. Prime factorization of 929 in exponential form is:
929 = 9291
Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 929.
LCM(923,929) = 131 × 711 × 9291
LCM(923,929) = 857467
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