What is the Least Common Multiple of 76827 and 76832?
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 76827 and 76832 is 5902772064.
LCM(76827,76832) = 5902772064
Least Common Multiple of 76827 and 76832 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76827 and 76832, than apply into the LCM equation.
GCF(76827,76832) = 1
LCM(76827,76832) = ( 76827 × 76832) / 1
LCM(76827,76832) = 5902772064 / 1
LCM(76827,76832) = 5902772064
Least Common Multiple (LCM) of 76827 and 76832 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76827 and 76832. First we will calculate the prime factors of 76827 and 76832.
Prime Factorization of 76827
Prime factors of 76827 are 3, 25609. Prime factorization of 76827 in exponential form is:
76827 = 31 × 256091
Prime Factorization of 76832
Prime factors of 76832 are 2, 7. Prime factorization of 76832 in exponential form is:
76832 = 25 × 74
Now multiplying the highest exponent prime factors to calculate the LCM of 76827 and 76832.
LCM(76827,76832) = 31 × 256091 × 25 × 74
LCM(76827,76832) = 5902772064
Related Least Common Multiples of 76827
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Related Least Common Multiples of 76832
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- LCM of 76832 and 76844
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