What is the Least Common Multiple of 51874 and 51890?
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 51874 and 51890 is 1345870930.
LCM(51874,51890) = 1345870930
Least Common Multiple of 51874 and 51890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51874 and 51890, than apply into the LCM equation.
GCF(51874,51890) = 2
LCM(51874,51890) = ( 51874 × 51890) / 2
LCM(51874,51890) = 2691741860 / 2
LCM(51874,51890) = 1345870930
Least Common Multiple (LCM) of 51874 and 51890 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51874 and 51890. First we will calculate the prime factors of 51874 and 51890.
Prime Factorization of 51874
Prime factors of 51874 are 2, 37, 701. Prime factorization of 51874 in exponential form is:
51874 = 21 × 371 × 7011
Prime Factorization of 51890
Prime factors of 51890 are 2, 5, 5189. Prime factorization of 51890 in exponential form is:
51890 = 21 × 51 × 51891
Now multiplying the highest exponent prime factors to calculate the LCM of 51874 and 51890.
LCM(51874,51890) = 21 × 371 × 7011 × 51 × 51891
LCM(51874,51890) = 1345870930
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