What is the Least Common Multiple of 41833 and 41843?
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 41833 and 41843 is 1750418219.
LCM(41833,41843) = 1750418219
Least Common Multiple of 41833 and 41843 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41833 and 41843, than apply into the LCM equation.
GCF(41833,41843) = 1
LCM(41833,41843) = ( 41833 × 41843) / 1
LCM(41833,41843) = 1750418219 / 1
LCM(41833,41843) = 1750418219
Least Common Multiple (LCM) of 41833 and 41843 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41833 and 41843. First we will calculate the prime factors of 41833 and 41843.
Prime Factorization of 41833
Prime factors of 41833 are 11, 3803. Prime factorization of 41833 in exponential form is:
41833 = 111 × 38031
Prime Factorization of 41843
Prime factors of 41843 are 41843. Prime factorization of 41843 in exponential form is:
41843 = 418431
Now multiplying the highest exponent prime factors to calculate the LCM of 41833 and 41843.
LCM(41833,41843) = 111 × 38031 × 418431
LCM(41833,41843) = 1750418219
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