What is the Least Common Multiple of 18972 and 18979?
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 18972 and 18979 is 360069588.
LCM(18972,18979) = 360069588
Least Common Multiple of 18972 and 18979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18972 and 18979, than apply into the LCM equation.
GCF(18972,18979) = 1
LCM(18972,18979) = ( 18972 × 18979) / 1
LCM(18972,18979) = 360069588 / 1
LCM(18972,18979) = 360069588
Least Common Multiple (LCM) of 18972 and 18979 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 18972 and 18979. First we will calculate the prime factors of 18972 and 18979.
Prime Factorization of 18972
Prime factors of 18972 are 2, 3, 17, 31. Prime factorization of 18972 in exponential form is:
18972 = 22 × 32 × 171 × 311
Prime Factorization of 18979
Prime factors of 18979 are 18979. Prime factorization of 18979 in exponential form is:
18979 = 189791
Now multiplying the highest exponent prime factors to calculate the LCM of 18972 and 18979.
LCM(18972,18979) = 22 × 32 × 171 × 311 × 189791
LCM(18972,18979) = 360069588
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