What is the Least Common Multiple of 50780 and 50793?
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 50780 and 50793 is 2579268540.
LCM(50780,50793) = 2579268540
Least Common Multiple of 50780 and 50793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50780 and 50793, than apply into the LCM equation.
GCF(50780,50793) = 1
LCM(50780,50793) = ( 50780 × 50793) / 1
LCM(50780,50793) = 2579268540 / 1
LCM(50780,50793) = 2579268540
Least Common Multiple (LCM) of 50780 and 50793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50780 and 50793. First we will calculate the prime factors of 50780 and 50793.
Prime Factorization of 50780
Prime factors of 50780 are 2, 5, 2539. Prime factorization of 50780 in exponential form is:
50780 = 22 × 51 × 25391
Prime Factorization of 50793
Prime factors of 50793 are 3, 16931. Prime factorization of 50793 in exponential form is:
50793 = 31 × 169311
Now multiplying the highest exponent prime factors to calculate the LCM of 50780 and 50793.
LCM(50780,50793) = 22 × 51 × 25391 × 31 × 169311
LCM(50780,50793) = 2579268540
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