What is the Least Common Multiple of 43062 and 43067?
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 43062 and 43067 is 1854551154.
LCM(43062,43067) = 1854551154
Least Common Multiple of 43062 and 43067 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43062 and 43067, than apply into the LCM equation.
GCF(43062,43067) = 1
LCM(43062,43067) = ( 43062 × 43067) / 1
LCM(43062,43067) = 1854551154 / 1
LCM(43062,43067) = 1854551154
Least Common Multiple (LCM) of 43062 and 43067 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43062 and 43067. First we will calculate the prime factors of 43062 and 43067.
Prime Factorization of 43062
Prime factors of 43062 are 2, 3, 7177. Prime factorization of 43062 in exponential form is:
43062 = 21 × 31 × 71771
Prime Factorization of 43067
Prime factors of 43067 are 43067. Prime factorization of 43067 in exponential form is:
43067 = 430671
Now multiplying the highest exponent prime factors to calculate the LCM of 43062 and 43067.
LCM(43062,43067) = 21 × 31 × 71771 × 430671
LCM(43062,43067) = 1854551154
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