What is the Least Common Multiple of 10920 and 10928?
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 10920 and 10928 is 14916720.
LCM(10920,10928) = 14916720
Least Common Multiple of 10920 and 10928 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10920 and 10928, than apply into the LCM equation.
GCF(10920,10928) = 8
LCM(10920,10928) = ( 10920 × 10928) / 8
LCM(10920,10928) = 119333760 / 8
LCM(10920,10928) = 14916720
Least Common Multiple (LCM) of 10920 and 10928 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 10920 and 10928. First we will calculate the prime factors of 10920 and 10928.
Prime Factorization of 10920
Prime factors of 10920 are 2, 3, 5, 7, 13. Prime factorization of 10920 in exponential form is:
10920 = 23 × 31 × 51 × 71 × 131
Prime Factorization of 10928
Prime factors of 10928 are 2, 683. Prime factorization of 10928 in exponential form is:
10928 = 24 × 6831
Now multiplying the highest exponent prime factors to calculate the LCM of 10920 and 10928.
LCM(10920,10928) = 24 × 31 × 51 × 71 × 131 × 6831
LCM(10920,10928) = 14916720
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