What is the Least Common Multiple of 50915 and 50926?
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 50915 and 50926 is 2592897290.
LCM(50915,50926) = 2592897290
Least Common Multiple of 50915 and 50926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50915 and 50926, than apply into the LCM equation.
GCF(50915,50926) = 1
LCM(50915,50926) = ( 50915 × 50926) / 1
LCM(50915,50926) = 2592897290 / 1
LCM(50915,50926) = 2592897290
Least Common Multiple (LCM) of 50915 and 50926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50915 and 50926. First we will calculate the prime factors of 50915 and 50926.
Prime Factorization of 50915
Prime factors of 50915 are 5, 17, 599. Prime factorization of 50915 in exponential form is:
50915 = 51 × 171 × 5991
Prime Factorization of 50926
Prime factors of 50926 are 2, 25463. Prime factorization of 50926 in exponential form is:
50926 = 21 × 254631
Now multiplying the highest exponent prime factors to calculate the LCM of 50915 and 50926.
LCM(50915,50926) = 51 × 171 × 5991 × 21 × 254631
LCM(50915,50926) = 2592897290
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