What is the Least Common Multiple of 69849 and 69854?
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 69849 and 69854 is 4879232046.
LCM(69849,69854) = 4879232046
Least Common Multiple of 69849 and 69854 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69849 and 69854, than apply into the LCM equation.
GCF(69849,69854) = 1
LCM(69849,69854) = ( 69849 × 69854) / 1
LCM(69849,69854) = 4879232046 / 1
LCM(69849,69854) = 4879232046
Least Common Multiple (LCM) of 69849 and 69854 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69849 and 69854. First we will calculate the prime factors of 69849 and 69854.
Prime Factorization of 69849
Prime factors of 69849 are 3, 13, 199. Prime factorization of 69849 in exponential form is:
69849 = 33 × 131 × 1991
Prime Factorization of 69854
Prime factors of 69854 are 2, 53, 659. Prime factorization of 69854 in exponential form is:
69854 = 21 × 531 × 6591
Now multiplying the highest exponent prime factors to calculate the LCM of 69849 and 69854.
LCM(69849,69854) = 33 × 131 × 1991 × 21 × 531 × 6591
LCM(69849,69854) = 4879232046
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