What is the Least Common Multiple of 43114 and 43118?
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 43114 and 43118 is 929494726.
LCM(43114,43118) = 929494726
Least Common Multiple of 43114 and 43118 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43114 and 43118, than apply into the LCM equation.
GCF(43114,43118) = 2
LCM(43114,43118) = ( 43114 × 43118) / 2
LCM(43114,43118) = 1858989452 / 2
LCM(43114,43118) = 929494726
Least Common Multiple (LCM) of 43114 and 43118 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43114 and 43118. First we will calculate the prime factors of 43114 and 43118.
Prime Factorization of 43114
Prime factors of 43114 are 2, 21557. Prime factorization of 43114 in exponential form is:
43114 = 21 × 215571
Prime Factorization of 43118
Prime factors of 43118 are 2, 21559. Prime factorization of 43118 in exponential form is:
43118 = 21 × 215591
Now multiplying the highest exponent prime factors to calculate the LCM of 43114 and 43118.
LCM(43114,43118) = 21 × 215571 × 215591
LCM(43114,43118) = 929494726
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