What is the Least Common Multiple of 54803 and 54817?
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 54803 and 54817 is 429162293.
LCM(54803,54817) = 429162293
Least Common Multiple of 54803 and 54817 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54803 and 54817, than apply into the LCM equation.
GCF(54803,54817) = 7
LCM(54803,54817) = ( 54803 × 54817) / 7
LCM(54803,54817) = 3004136051 / 7
LCM(54803,54817) = 429162293
Least Common Multiple (LCM) of 54803 and 54817 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54803 and 54817. First we will calculate the prime factors of 54803 and 54817.
Prime Factorization of 54803
Prime factors of 54803 are 7, 7829. Prime factorization of 54803 in exponential form is:
54803 = 71 × 78291
Prime Factorization of 54817
Prime factors of 54817 are 7, 41, 191. Prime factorization of 54817 in exponential form is:
54817 = 71 × 411 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 54803 and 54817.
LCM(54803,54817) = 71 × 78291 × 411 × 1911
LCM(54803,54817) = 429162293
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