What is the Least Common Multiple of 76984 and 76990?
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 76984 and 76990 is 2963499080.
LCM(76984,76990) = 2963499080
Least Common Multiple of 76984 and 76990 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76984 and 76990, than apply into the LCM equation.
GCF(76984,76990) = 2
LCM(76984,76990) = ( 76984 × 76990) / 2
LCM(76984,76990) = 5926998160 / 2
LCM(76984,76990) = 2963499080
Least Common Multiple (LCM) of 76984 and 76990 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76984 and 76990. First we will calculate the prime factors of 76984 and 76990.
Prime Factorization of 76984
Prime factors of 76984 are 2, 9623. Prime factorization of 76984 in exponential form is:
76984 = 23 × 96231
Prime Factorization of 76990
Prime factors of 76990 are 2, 5, 7699. Prime factorization of 76990 in exponential form is:
76990 = 21 × 51 × 76991
Now multiplying the highest exponent prime factors to calculate the LCM of 76984 and 76990.
LCM(76984,76990) = 23 × 96231 × 51 × 76991
LCM(76984,76990) = 2963499080
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