What is the Least Common Multiple of 76873 and 76892?
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 76873 and 76892 is 5910918716.
LCM(76873,76892) = 5910918716
Least Common Multiple of 76873 and 76892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76873 and 76892, than apply into the LCM equation.
GCF(76873,76892) = 1
LCM(76873,76892) = ( 76873 × 76892) / 1
LCM(76873,76892) = 5910918716 / 1
LCM(76873,76892) = 5910918716
Least Common Multiple (LCM) of 76873 and 76892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76873 and 76892. First we will calculate the prime factors of 76873 and 76892.
Prime Factorization of 76873
Prime factors of 76873 are 76873. Prime factorization of 76873 in exponential form is:
76873 = 768731
Prime Factorization of 76892
Prime factors of 76892 are 2, 47, 409. Prime factorization of 76892 in exponential form is:
76892 = 22 × 471 × 4091
Now multiplying the highest exponent prime factors to calculate the LCM of 76873 and 76892.
LCM(76873,76892) = 768731 × 22 × 471 × 4091
LCM(76873,76892) = 5910918716
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