What is the Least Common Multiple of 50878 and 50888?
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 50878 and 50888 is 1294539832.
LCM(50878,50888) = 1294539832
Least Common Multiple of 50878 and 50888 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50878 and 50888, than apply into the LCM equation.
GCF(50878,50888) = 2
LCM(50878,50888) = ( 50878 × 50888) / 2
LCM(50878,50888) = 2589079664 / 2
LCM(50878,50888) = 1294539832
Least Common Multiple (LCM) of 50878 and 50888 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50878 and 50888. First we will calculate the prime factors of 50878 and 50888.
Prime Factorization of 50878
Prime factors of 50878 are 2, 25439. Prime factorization of 50878 in exponential form is:
50878 = 21 × 254391
Prime Factorization of 50888
Prime factors of 50888 are 2, 6361. Prime factorization of 50888 in exponential form is:
50888 = 23 × 63611
Now multiplying the highest exponent prime factors to calculate the LCM of 50878 and 50888.
LCM(50878,50888) = 23 × 254391 × 63611
LCM(50878,50888) = 1294539832
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