What is the Least Common Multiple of 43058 and 43062?
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 43058 and 43062 is 927081798.
LCM(43058,43062) = 927081798
Least Common Multiple of 43058 and 43062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43058 and 43062, than apply into the LCM equation.
GCF(43058,43062) = 2
LCM(43058,43062) = ( 43058 × 43062) / 2
LCM(43058,43062) = 1854163596 / 2
LCM(43058,43062) = 927081798
Least Common Multiple (LCM) of 43058 and 43062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43058 and 43062. First we will calculate the prime factors of 43058 and 43062.
Prime Factorization of 43058
Prime factors of 43058 are 2, 21529. Prime factorization of 43058 in exponential form is:
43058 = 21 × 215291
Prime Factorization of 43062
Prime factors of 43062 are 2, 3, 7177. Prime factorization of 43062 in exponential form is:
43062 = 21 × 31 × 71771
Now multiplying the highest exponent prime factors to calculate the LCM of 43058 and 43062.
LCM(43058,43062) = 21 × 215291 × 31 × 71771
LCM(43058,43062) = 927081798
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