What is the Least Common Multiple of 50783 and 50795?
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 50783 and 50795 is 2579522485.
LCM(50783,50795) = 2579522485
Least Common Multiple of 50783 and 50795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50783 and 50795, than apply into the LCM equation.
GCF(50783,50795) = 1
LCM(50783,50795) = ( 50783 × 50795) / 1
LCM(50783,50795) = 2579522485 / 1
LCM(50783,50795) = 2579522485
Least Common Multiple (LCM) of 50783 and 50795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50783 and 50795. First we will calculate the prime factors of 50783 and 50795.
Prime Factorization of 50783
Prime factors of 50783 are 43, 1181. Prime factorization of 50783 in exponential form is:
50783 = 431 × 11811
Prime Factorization of 50795
Prime factors of 50795 are 5, 10159. Prime factorization of 50795 in exponential form is:
50795 = 51 × 101591
Now multiplying the highest exponent prime factors to calculate the LCM of 50783 and 50795.
LCM(50783,50795) = 431 × 11811 × 51 × 101591
LCM(50783,50795) = 2579522485
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