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What is the Least Common Multiple of 50958 and 50965?

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 50958 and 50965 is 2597074470.

LCM(50958,50965) = 2597074470

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Least Common Multiple of 50958 and 50965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50958 and 50965, than apply into the LCM equation.

GCF(50958,50965) = 1
LCM(50958,50965) = ( 50958 × 50965) / 1
LCM(50958,50965) = 2597074470 / 1
LCM(50958,50965) = 2597074470

Least Common Multiple (LCM) of 50958 and 50965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50958 and 50965. First we will calculate the prime factors of 50958 and 50965.

Prime Factorization of 50958

Prime factors of 50958 are 2, 3, 19, 149. Prime factorization of 50958 in exponential form is:

50958 = 21 × 32 × 191 × 1491

Prime Factorization of 50965

Prime factors of 50965 are 5, 10193. Prime factorization of 50965 in exponential form is:

50965 = 51 × 101931

Now multiplying the highest exponent prime factors to calculate the LCM of 50958 and 50965.

LCM(50958,50965) = 21 × 32 × 191 × 1491 × 51 × 101931
LCM(50958,50965) = 2597074470