What is the Least Common Multiple of 923 and 928?
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 928 is 856544.
LCM(923,928) = 856544
Least Common Multiple of 923 and 928 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 928, than apply into the LCM equation.
GCF(923,928) = 1
LCM(923,928) = ( 923 × 928) / 1
LCM(923,928) = 856544 / 1
LCM(923,928) = 856544
Least Common Multiple (LCM) of 923 and 928 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 928. First we will calculate the prime factors of 923 and 928.
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 928
Prime factors of 928 are 2, 29. Prime factorization of 928 in exponential form is:
928 = 25 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 928.
LCM(923,928) = 131 × 711 × 25 × 291
LCM(923,928) = 856544
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Related Least Common Multiples of 928
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