What is the Least Common Multiple of 43779 and 43798?
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 43779 and 43798 is 1917432642.
LCM(43779,43798) = 1917432642
Least Common Multiple of 43779 and 43798 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43779 and 43798, than apply into the LCM equation.
GCF(43779,43798) = 1
LCM(43779,43798) = ( 43779 × 43798) / 1
LCM(43779,43798) = 1917432642 / 1
LCM(43779,43798) = 1917432642
Least Common Multiple (LCM) of 43779 and 43798 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43779 and 43798. First we will calculate the prime factors of 43779 and 43798.
Prime Factorization of 43779
Prime factors of 43779 are 3, 14593. Prime factorization of 43779 in exponential form is:
43779 = 31 × 145931
Prime Factorization of 43798
Prime factors of 43798 are 2, 61, 359. Prime factorization of 43798 in exponential form is:
43798 = 21 × 611 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 43779 and 43798.
LCM(43779,43798) = 31 × 145931 × 21 × 611 × 3591
LCM(43779,43798) = 1917432642
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