What is the Least Common Multiple of 50433 and 50442?
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 50433 and 50442 is 847980462.
LCM(50433,50442) = 847980462
Least Common Multiple of 50433 and 50442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50433 and 50442, than apply into the LCM equation.
GCF(50433,50442) = 3
LCM(50433,50442) = ( 50433 × 50442) / 3
LCM(50433,50442) = 2543941386 / 3
LCM(50433,50442) = 847980462
Least Common Multiple (LCM) of 50433 and 50442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50433 and 50442. First we will calculate the prime factors of 50433 and 50442.
Prime Factorization of 50433
Prime factors of 50433 are 3, 16811. Prime factorization of 50433 in exponential form is:
50433 = 31 × 168111
Prime Factorization of 50442
Prime factors of 50442 are 2, 3, 7, 1201. Prime factorization of 50442 in exponential form is:
50442 = 21 × 31 × 71 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 50433 and 50442.
LCM(50433,50442) = 31 × 168111 × 21 × 71 × 12011
LCM(50433,50442) = 847980462
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