What is the Least Common Multiple of 76973 and 76980?
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 76973 and 76980 is 5925381540.
LCM(76973,76980) = 5925381540
Least Common Multiple of 76973 and 76980 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76973 and 76980, than apply into the LCM equation.
GCF(76973,76980) = 1
LCM(76973,76980) = ( 76973 × 76980) / 1
LCM(76973,76980) = 5925381540 / 1
LCM(76973,76980) = 5925381540
Least Common Multiple (LCM) of 76973 and 76980 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76973 and 76980. First we will calculate the prime factors of 76973 and 76980.
Prime Factorization of 76973
Prime factors of 76973 are 13, 31, 191. Prime factorization of 76973 in exponential form is:
76973 = 131 × 311 × 1911
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
Now multiplying the highest exponent prime factors to calculate the LCM of 76973 and 76980.
LCM(76973,76980) = 131 × 311 × 1911 × 22 × 31 × 51 × 12831
LCM(76973,76980) = 5925381540
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