What is the Least Common Multiple of 923 and 930?
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 930 is 858390.
LCM(923,930) = 858390
Least Common Multiple of 923 and 930 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 930, than apply into the LCM equation.
GCF(923,930) = 1
LCM(923,930) = ( 923 × 930) / 1
LCM(923,930) = 858390 / 1
LCM(923,930) = 858390
Least Common Multiple (LCM) of 923 and 930 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 923 and 930. First we will calculate the prime factors of 923 and 930.
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 930
Prime factors of 930 are 2, 3, 5, 31. Prime factorization of 930 in exponential form is:
930 = 21 × 31 × 51 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 923 and 930.
LCM(923,930) = 131 × 711 × 21 × 31 × 51 × 311
LCM(923,930) = 858390
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