What is the Least Common Multiple of 76821 and 76838?
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 76821 and 76838 is 5902771998.
LCM(76821,76838) = 5902771998
Least Common Multiple of 76821 and 76838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76821 and 76838, than apply into the LCM equation.
GCF(76821,76838) = 1
LCM(76821,76838) = ( 76821 × 76838) / 1
LCM(76821,76838) = 5902771998 / 1
LCM(76821,76838) = 5902771998
Least Common Multiple (LCM) of 76821 and 76838 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76821 and 76838. First we will calculate the prime factors of 76821 and 76838.
Prime Factorization of 76821
Prime factors of 76821 are 3, 29, 883. Prime factorization of 76821 in exponential form is:
76821 = 31 × 291 × 8831
Prime Factorization of 76838
Prime factors of 76838 are 2, 103, 373. Prime factorization of 76838 in exponential form is:
76838 = 21 × 1031 × 3731
Now multiplying the highest exponent prime factors to calculate the LCM of 76821 and 76838.
LCM(76821,76838) = 31 × 291 × 8831 × 21 × 1031 × 3731
LCM(76821,76838) = 5902771998
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