What is the Least Common Multiple of 43037 and 43055?
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 43037 and 43055 is 1852958035.
LCM(43037,43055) = 1852958035
Least Common Multiple of 43037 and 43055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43037 and 43055, than apply into the LCM equation.
GCF(43037,43055) = 1
LCM(43037,43055) = ( 43037 × 43055) / 1
LCM(43037,43055) = 1852958035 / 1
LCM(43037,43055) = 1852958035
Least Common Multiple (LCM) of 43037 and 43055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43037 and 43055. First we will calculate the prime factors of 43037 and 43055.
Prime Factorization of 43037
Prime factors of 43037 are 43037. Prime factorization of 43037 in exponential form is:
43037 = 430371
Prime Factorization of 43055
Prime factors of 43055 are 5, 79, 109. Prime factorization of 43055 in exponential form is:
43055 = 51 × 791 × 1091
Now multiplying the highest exponent prime factors to calculate the LCM of 43037 and 43055.
LCM(43037,43055) = 430371 × 51 × 791 × 1091
LCM(43037,43055) = 1852958035
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