What is the Least Common Multiple of 43042 and 43061?
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 43042 and 43061 is 1853431562.
LCM(43042,43061) = 1853431562
Least Common Multiple of 43042 and 43061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43042 and 43061, than apply into the LCM equation.
GCF(43042,43061) = 1
LCM(43042,43061) = ( 43042 × 43061) / 1
LCM(43042,43061) = 1853431562 / 1
LCM(43042,43061) = 1853431562
Least Common Multiple (LCM) of 43042 and 43061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43042 and 43061. First we will calculate the prime factors of 43042 and 43061.
Prime Factorization of 43042
Prime factors of 43042 are 2, 21521. Prime factorization of 43042 in exponential form is:
43042 = 21 × 215211
Prime Factorization of 43061
Prime factors of 43061 are 17, 149. Prime factorization of 43061 in exponential form is:
43061 = 172 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 43042 and 43061.
LCM(43042,43061) = 21 × 215211 × 172 × 1491
LCM(43042,43061) = 1853431562
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