What is the Least Common Multiple of 50855 and 50859?
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 50855 and 50859 is 2586434445.
LCM(50855,50859) = 2586434445
Least Common Multiple of 50855 and 50859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50855 and 50859, than apply into the LCM equation.
GCF(50855,50859) = 1
LCM(50855,50859) = ( 50855 × 50859) / 1
LCM(50855,50859) = 2586434445 / 1
LCM(50855,50859) = 2586434445
Least Common Multiple (LCM) of 50855 and 50859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50855 and 50859. First we will calculate the prime factors of 50855 and 50859.
Prime Factorization of 50855
Prime factors of 50855 are 5, 7, 1453. Prime factorization of 50855 in exponential form is:
50855 = 51 × 71 × 14531
Prime Factorization of 50859
Prime factors of 50859 are 3, 5651. Prime factorization of 50859 in exponential form is:
50859 = 32 × 56511
Now multiplying the highest exponent prime factors to calculate the LCM of 50855 and 50859.
LCM(50855,50859) = 51 × 71 × 14531 × 32 × 56511
LCM(50855,50859) = 2586434445
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