What is the Least Common Multiple of 76981 and 76995?
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 76981 and 76995 is 5927152095.
LCM(76981,76995) = 5927152095
Least Common Multiple of 76981 and 76995 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76981 and 76995, than apply into the LCM equation.
GCF(76981,76995) = 1
LCM(76981,76995) = ( 76981 × 76995) / 1
LCM(76981,76995) = 5927152095 / 1
LCM(76981,76995) = 5927152095
Least Common Multiple (LCM) of 76981 and 76995 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76981 and 76995. First we will calculate the prime factors of 76981 and 76995.
Prime Factorization of 76981
Prime factors of 76981 are 23, 3347. Prime factorization of 76981 in exponential form is:
76981 = 231 × 33471
Prime Factorization of 76995
Prime factors of 76995 are 3, 5, 29, 59. Prime factorization of 76995 in exponential form is:
76995 = 32 × 51 × 291 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 76981 and 76995.
LCM(76981,76995) = 231 × 33471 × 32 × 51 × 291 × 591
LCM(76981,76995) = 5927152095
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