What is the Least Common Multiple of 49838 and 49850?
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 49838 and 49850 is 1242212150.
LCM(49838,49850) = 1242212150
Least Common Multiple of 49838 and 49850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49838 and 49850, than apply into the LCM equation.
GCF(49838,49850) = 2
LCM(49838,49850) = ( 49838 × 49850) / 2
LCM(49838,49850) = 2484424300 / 2
LCM(49838,49850) = 1242212150
Least Common Multiple (LCM) of 49838 and 49850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 49838 and 49850. First we will calculate the prime factors of 49838 and 49850.
Prime Factorization of 49838
Prime factors of 49838 are 2, 24919. Prime factorization of 49838 in exponential form is:
49838 = 21 × 249191
Prime Factorization of 49850
Prime factors of 49850 are 2, 5, 997. Prime factorization of 49850 in exponential form is:
49850 = 21 × 52 × 9971
Now multiplying the highest exponent prime factors to calculate the LCM of 49838 and 49850.
LCM(49838,49850) = 21 × 249191 × 52 × 9971
LCM(49838,49850) = 1242212150
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