What is the Least Common Multiple of 54785 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 54785 and 54789 is 3001615365.
LCM(54785,54789) = 3001615365
Least Common Multiple of 54785 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 54785 and 54789, than apply into the LCM equation.
GCF(54785,54789) = 1
LCM(54785,54789) = ( 54785 × 54789) / 1
LCM(54785,54789) = 3001615365 / 1
LCM(54785,54789) = 3001615365
Least Common Multiple (LCM) of 54785 and 54789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54785 and 54789. First we will calculate the prime factors of 54785 and 54789.
Prime Factorization of 54785
Prime factors of 54785 are 5, 10957. Prime factorization of 54785 in exponential form is:
54785 = 51 × 109571
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 54785 and 54789.
LCM(54785,54789) = 51 × 109571 × 31 × 71 × 26091
LCM(54785,54789) = 3001615365
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