What is the Least Common Multiple of 76980 and 76984?
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 76980 and 76984 is 1481557080.
LCM(76980,76984) = 1481557080
Least Common Multiple of 76980 and 76984 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76980 and 76984, than apply into the LCM equation.
GCF(76980,76984) = 4
LCM(76980,76984) = ( 76980 × 76984) / 4
LCM(76980,76984) = 5926228320 / 4
LCM(76980,76984) = 1481557080
Least Common Multiple (LCM) of 76980 and 76984 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76980 and 76984. First we will calculate the prime factors of 76980 and 76984.
Prime Factorization of 76980
Prime factors of 76980 are 2, 3, 5, 1283. Prime factorization of 76980 in exponential form is:
76980 = 22 × 31 × 51 × 12831
Prime Factorization of 76984
Prime factors of 76984 are 2, 9623. Prime factorization of 76984 in exponential form is:
76984 = 23 × 96231
Now multiplying the highest exponent prime factors to calculate the LCM of 76980 and 76984.
LCM(76980,76984) = 23 × 31 × 51 × 12831 × 96231
LCM(76980,76984) = 1481557080
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