What is the Least Common Multiple of 50367 and 50383?
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 50367 and 50383 is 2537640561.
LCM(50367,50383) = 2537640561
Least Common Multiple of 50367 and 50383 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50367 and 50383, than apply into the LCM equation.
GCF(50367,50383) = 1
LCM(50367,50383) = ( 50367 × 50383) / 1
LCM(50367,50383) = 2537640561 / 1
LCM(50367,50383) = 2537640561
Least Common Multiple (LCM) of 50367 and 50383 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50367 and 50383. First we will calculate the prime factors of 50367 and 50383.
Prime Factorization of 50367
Prime factors of 50367 are 3, 103, 163. Prime factorization of 50367 in exponential form is:
50367 = 31 × 1031 × 1631
Prime Factorization of 50383
Prime factors of 50383 are 50383. Prime factorization of 50383 in exponential form is:
50383 = 503831
Now multiplying the highest exponent prime factors to calculate the LCM of 50367 and 50383.
LCM(50367,50383) = 31 × 1031 × 1631 × 503831
LCM(50367,50383) = 2537640561
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