What is the Least Common Multiple of 50269 and 50279?
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 50269 and 50279 is 2527475051.
LCM(50269,50279) = 2527475051
Least Common Multiple of 50269 and 50279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50269 and 50279, than apply into the LCM equation.
GCF(50269,50279) = 1
LCM(50269,50279) = ( 50269 × 50279) / 1
LCM(50269,50279) = 2527475051 / 1
LCM(50269,50279) = 2527475051
Least Common Multiple (LCM) of 50269 and 50279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50269 and 50279. First we will calculate the prime factors of 50269 and 50279.
Prime Factorization of 50269
Prime factors of 50269 are 17, 2957. Prime factorization of 50269 in exponential form is:
50269 = 171 × 29571
Prime Factorization of 50279
Prime factors of 50279 are 137, 367. Prime factorization of 50279 in exponential form is:
50279 = 1371 × 3671
Now multiplying the highest exponent prime factors to calculate the LCM of 50269 and 50279.
LCM(50269,50279) = 171 × 29571 × 1371 × 3671
LCM(50269,50279) = 2527475051
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