What is the Least Common Multiple of 76923 and 76928?
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 76923 and 76928 is 5917532544.
LCM(76923,76928) = 5917532544
Least Common Multiple of 76923 and 76928 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76923 and 76928, than apply into the LCM equation.
GCF(76923,76928) = 1
LCM(76923,76928) = ( 76923 × 76928) / 1
LCM(76923,76928) = 5917532544 / 1
LCM(76923,76928) = 5917532544
Least Common Multiple (LCM) of 76923 and 76928 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76923 and 76928. First we will calculate the prime factors of 76923 and 76928.
Prime Factorization of 76923
Prime factors of 76923 are 3, 7, 11, 37. Prime factorization of 76923 in exponential form is:
76923 = 33 × 71 × 111 × 371
Prime Factorization of 76928
Prime factors of 76928 are 2, 601. Prime factorization of 76928 in exponential form is:
76928 = 27 × 6011
Now multiplying the highest exponent prime factors to calculate the LCM of 76923 and 76928.
LCM(76923,76928) = 33 × 71 × 111 × 371 × 27 × 6011
LCM(76923,76928) = 5917532544
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