What is the Least Common Multiple of 50991 and 51003?
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 50991 and 51003 is 866897991.
LCM(50991,51003) = 866897991
Least Common Multiple of 50991 and 51003 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50991 and 51003, than apply into the LCM equation.
GCF(50991,51003) = 3
LCM(50991,51003) = ( 50991 × 51003) / 3
LCM(50991,51003) = 2600693973 / 3
LCM(50991,51003) = 866897991
Least Common Multiple (LCM) of 50991 and 51003 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 50991 and 51003. First we will calculate the prime factors of 50991 and 51003.
Prime Factorization of 50991
Prime factors of 50991 are 3, 23, 739. Prime factorization of 50991 in exponential form is:
50991 = 31 × 231 × 7391
Prime Factorization of 51003
Prime factors of 51003 are 3, 1889. Prime factorization of 51003 in exponential form is:
51003 = 33 × 18891
Now multiplying the highest exponent prime factors to calculate the LCM of 50991 and 51003.
LCM(50991,51003) = 33 × 231 × 7391 × 18891
LCM(50991,51003) = 866897991
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