What is the Least Common Multiple of 42843 and 42850?
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 42843 and 42850 is 1835822550.
LCM(42843,42850) = 1835822550
Least Common Multiple of 42843 and 42850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42843 and 42850, than apply into the LCM equation.
GCF(42843,42850) = 1
LCM(42843,42850) = ( 42843 × 42850) / 1
LCM(42843,42850) = 1835822550 / 1
LCM(42843,42850) = 1835822550
Least Common Multiple (LCM) of 42843 and 42850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42843 and 42850. First we will calculate the prime factors of 42843 and 42850.
Prime Factorization of 42843
Prime factors of 42843 are 3, 14281. Prime factorization of 42843 in exponential form is:
42843 = 31 × 142811
Prime Factorization of 42850
Prime factors of 42850 are 2, 5, 857. Prime factorization of 42850 in exponential form is:
42850 = 21 × 52 × 8571
Now multiplying the highest exponent prime factors to calculate the LCM of 42843 and 42850.
LCM(42843,42850) = 31 × 142811 × 21 × 52 × 8571
LCM(42843,42850) = 1835822550
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