What is the Least Common Multiple of 76982 and 76987?
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 76982 and 76987 is 5926613234.
LCM(76982,76987) = 5926613234
Least Common Multiple of 76982 and 76987 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76982 and 76987, than apply into the LCM equation.
GCF(76982,76987) = 1
LCM(76982,76987) = ( 76982 × 76987) / 1
LCM(76982,76987) = 5926613234 / 1
LCM(76982,76987) = 5926613234
Least Common Multiple (LCM) of 76982 and 76987 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76982 and 76987. First we will calculate the prime factors of 76982 and 76987.
Prime Factorization of 76982
Prime factors of 76982 are 2, 61, 631. Prime factorization of 76982 in exponential form is:
76982 = 21 × 611 × 6311
Prime Factorization of 76987
Prime factors of 76987 are 167, 461. Prime factorization of 76987 in exponential form is:
76987 = 1671 × 4611
Now multiplying the highest exponent prime factors to calculate the LCM of 76982 and 76987.
LCM(76982,76987) = 21 × 611 × 6311 × 1671 × 4611
LCM(76982,76987) = 5926613234
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