What is the Least Common Multiple of 54981 and 54986?
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 54981 and 54986 is 3023185266.
LCM(54981,54986) = 3023185266
Least Common Multiple of 54981 and 54986 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54981 and 54986, than apply into the LCM equation.
GCF(54981,54986) = 1
LCM(54981,54986) = ( 54981 × 54986) / 1
LCM(54981,54986) = 3023185266 / 1
LCM(54981,54986) = 3023185266
Least Common Multiple (LCM) of 54981 and 54986 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54981 and 54986. First we will calculate the prime factors of 54981 and 54986.
Prime Factorization of 54981
Prime factors of 54981 are 3, 41, 149. Prime factorization of 54981 in exponential form is:
54981 = 32 × 411 × 1491
Prime Factorization of 54986
Prime factors of 54986 are 2, 19, 1447. Prime factorization of 54986 in exponential form is:
54986 = 21 × 191 × 14471
Now multiplying the highest exponent prime factors to calculate the LCM of 54981 and 54986.
LCM(54981,54986) = 32 × 411 × 1491 × 21 × 191 × 14471
LCM(54981,54986) = 3023185266
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