What is the Least Common Multiple of 54774 and 54789?
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 54774 and 54789 is 1000337562.
LCM(54774,54789) = 1000337562
Least Common Multiple of 54774 and 54789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54774 and 54789, than apply into the LCM equation.
GCF(54774,54789) = 3
LCM(54774,54789) = ( 54774 × 54789) / 3
LCM(54774,54789) = 3001012686 / 3
LCM(54774,54789) = 1000337562
Least Common Multiple (LCM) of 54774 and 54789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54774 and 54789. First we will calculate the prime factors of 54774 and 54789.
Prime Factorization of 54774
Prime factors of 54774 are 2, 3, 17, 179. Prime factorization of 54774 in exponential form is:
54774 = 21 × 32 × 171 × 1791
Prime Factorization of 54789
Prime factors of 54789 are 3, 7, 2609. Prime factorization of 54789 in exponential form is:
54789 = 31 × 71 × 26091
Now multiplying the highest exponent prime factors to calculate the LCM of 54774 and 54789.
LCM(54774,54789) = 21 × 32 × 171 × 1791 × 71 × 26091
LCM(54774,54789) = 1000337562
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