What is the Least Common Multiple of 54817 and 54834?
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 54817 and 54834 is 3005835378.
LCM(54817,54834) = 3005835378
Least Common Multiple of 54817 and 54834 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54817 and 54834, than apply into the LCM equation.
GCF(54817,54834) = 1
LCM(54817,54834) = ( 54817 × 54834) / 1
LCM(54817,54834) = 3005835378 / 1
LCM(54817,54834) = 3005835378
Least Common Multiple (LCM) of 54817 and 54834 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 54817 and 54834. First we will calculate the prime factors of 54817 and 54834.
Prime Factorization of 54817
Prime factors of 54817 are 7, 41, 191. Prime factorization of 54817 in exponential form is:
54817 = 71 × 411 × 1911
Prime Factorization of 54834
Prime factors of 54834 are 2, 3, 13, 19, 37. Prime factorization of 54834 in exponential form is:
54834 = 21 × 31 × 131 × 191 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 54817 and 54834.
LCM(54817,54834) = 71 × 411 × 1911 × 21 × 31 × 131 × 191 × 371
LCM(54817,54834) = 3005835378
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