What is the Least Common Multiple of 50839 and 50846?
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 50839 and 50846 is 2584959794.
LCM(50839,50846) = 2584959794
Least Common Multiple of 50839 and 50846 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50839 and 50846, than apply into the LCM equation.
GCF(50839,50846) = 1
LCM(50839,50846) = ( 50839 × 50846) / 1
LCM(50839,50846) = 2584959794 / 1
LCM(50839,50846) = 2584959794
Least Common Multiple (LCM) of 50839 and 50846 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50839 and 50846. First we will calculate the prime factors of 50839 and 50846.
Prime Factorization of 50839
Prime factors of 50839 are 50839. Prime factorization of 50839 in exponential form is:
50839 = 508391
Prime Factorization of 50846
Prime factors of 50846 are 2, 25423. Prime factorization of 50846 in exponential form is:
50846 = 21 × 254231
Now multiplying the highest exponent prime factors to calculate the LCM of 50839 and 50846.
LCM(50839,50846) = 508391 × 21 × 254231
LCM(50839,50846) = 2584959794
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