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What is the Least Common Multiple of 51958 and 51973?

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 51958 and 51973 is 2700413134.

LCM(51958,51973) = 2700413134

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Least Common Multiple of 51958 and 51973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51958 and 51973, than apply into the LCM equation.

GCF(51958,51973) = 1
LCM(51958,51973) = ( 51958 × 51973) / 1
LCM(51958,51973) = 2700413134 / 1
LCM(51958,51973) = 2700413134

Least Common Multiple (LCM) of 51958 and 51973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51958 and 51973. First we will calculate the prime factors of 51958 and 51973.

Prime Factorization of 51958

Prime factors of 51958 are 2, 83, 313. Prime factorization of 51958 in exponential form is:

51958 = 21 × 831 × 3131

Prime Factorization of 51973

Prime factors of 51973 are 51973. Prime factorization of 51973 in exponential form is:

51973 = 519731

Now multiplying the highest exponent prime factors to calculate the LCM of 51958 and 51973.

LCM(51958,51973) = 21 × 831 × 3131 × 519731
LCM(51958,51973) = 2700413134