What is the Least Common Multiple of 76892 and 76900?
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 76892 and 76900 is 1478248700.
LCM(76892,76900) = 1478248700
Least Common Multiple of 76892 and 76900 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76892 and 76900, than apply into the LCM equation.
GCF(76892,76900) = 4
LCM(76892,76900) = ( 76892 × 76900) / 4
LCM(76892,76900) = 5912994800 / 4
LCM(76892,76900) = 1478248700
Least Common Multiple (LCM) of 76892 and 76900 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76892 and 76900. First we will calculate the prime factors of 76892 and 76900.
Prime Factorization of 76892
Prime factors of 76892 are 2, 47, 409. Prime factorization of 76892 in exponential form is:
76892 = 22 × 471 × 4091
Prime Factorization of 76900
Prime factors of 76900 are 2, 5, 769. Prime factorization of 76900 in exponential form is:
76900 = 22 × 52 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 76892 and 76900.
LCM(76892,76900) = 22 × 471 × 4091 × 52 × 7691
LCM(76892,76900) = 1478248700
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