What is the Least Common Multiple of 76927 and 76940?
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 76927 and 76940 is 5918763380.
LCM(76927,76940) = 5918763380
Least Common Multiple of 76927 and 76940 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76927 and 76940, than apply into the LCM equation.
GCF(76927,76940) = 1
LCM(76927,76940) = ( 76927 × 76940) / 1
LCM(76927,76940) = 5918763380 / 1
LCM(76927,76940) = 5918763380
Least Common Multiple (LCM) of 76927 and 76940 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76927 and 76940. First we will calculate the prime factors of 76927 and 76940.
Prime Factorization of 76927
Prime factors of 76927 are 43, 1789. Prime factorization of 76927 in exponential form is:
76927 = 431 × 17891
Prime Factorization of 76940
Prime factors of 76940 are 2, 5, 3847. Prime factorization of 76940 in exponential form is:
76940 = 22 × 51 × 38471
Now multiplying the highest exponent prime factors to calculate the LCM of 76927 and 76940.
LCM(76927,76940) = 431 × 17891 × 22 × 51 × 38471
LCM(76927,76940) = 5918763380
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