What is the Least Common Multiple of 50878 and 50884?
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 50884 is 1294438076.
LCM(50878,50884) = 1294438076
Least Common Multiple of 50878 and 50884 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 50884, than apply into the LCM equation.
GCF(50878,50884) = 2
LCM(50878,50884) = ( 50878 × 50884) / 2
LCM(50878,50884) = 2588876152 / 2
LCM(50878,50884) = 1294438076
Least Common Multiple (LCM) of 50878 and 50884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50878 and 50884. First we will calculate the prime factors of 50878 and 50884.
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 50884
Prime factors of 50884 are 2, 12721. Prime factorization of 50884 in exponential form is:
50884 = 22 × 127211
Now multiplying the highest exponent prime factors to calculate the LCM of 50878 and 50884.
LCM(50878,50884) = 22 × 254391 × 127211
LCM(50878,50884) = 1294438076
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