What is the Least Common Multiple of 42843 and 42847?
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 42847 is 1835694021.
LCM(42843,42847) = 1835694021
Least Common Multiple of 42843 and 42847 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 42847, than apply into the LCM equation.
GCF(42843,42847) = 1
LCM(42843,42847) = ( 42843 × 42847) / 1
LCM(42843,42847) = 1835694021 / 1
LCM(42843,42847) = 1835694021
Least Common Multiple (LCM) of 42843 and 42847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42843 and 42847. First we will calculate the prime factors of 42843 and 42847.
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 42847
Prime factors of 42847 are 7, 6121. Prime factorization of 42847 in exponential form is:
42847 = 71 × 61211
Now multiplying the highest exponent prime factors to calculate the LCM of 42843 and 42847.
LCM(42843,42847) = 31 × 142811 × 71 × 61211
LCM(42843,42847) = 1835694021
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