What is the Least Common Multiple of 54981 and 54991?
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 54991 is 3023460171.
LCM(54981,54991) = 3023460171
Least Common Multiple of 54981 and 54991 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 54991, than apply into the LCM equation.
GCF(54981,54991) = 1
LCM(54981,54991) = ( 54981 × 54991) / 1
LCM(54981,54991) = 3023460171 / 1
LCM(54981,54991) = 3023460171
Least Common Multiple (LCM) of 54981 and 54991 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54981 and 54991. First we will calculate the prime factors of 54981 and 54991.
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 54991
Prime factors of 54991 are 127, 433. Prime factorization of 54991 in exponential form is:
54991 = 1271 × 4331
Now multiplying the highest exponent prime factors to calculate the LCM of 54981 and 54991.
LCM(54981,54991) = 32 × 411 × 1491 × 1271 × 4331
LCM(54981,54991) = 3023460171
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