What is the Least Common Multiple of 50111 and 50116?
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 50111 and 50116 is 2511362876.
LCM(50111,50116) = 2511362876
Least Common Multiple of 50111 and 50116 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50111 and 50116, than apply into the LCM equation.
GCF(50111,50116) = 1
LCM(50111,50116) = ( 50111 × 50116) / 1
LCM(50111,50116) = 2511362876 / 1
LCM(50111,50116) = 2511362876
Least Common Multiple (LCM) of 50111 and 50116 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50111 and 50116. First we will calculate the prime factors of 50111 and 50116.
Prime Factorization of 50111
Prime factors of 50111 are 50111. Prime factorization of 50111 in exponential form is:
50111 = 501111
Prime Factorization of 50116
Prime factors of 50116 are 2, 11, 17, 67. Prime factorization of 50116 in exponential form is:
50116 = 22 × 111 × 171 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 50111 and 50116.
LCM(50111,50116) = 501111 × 22 × 111 × 171 × 671
LCM(50111,50116) = 2511362876
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