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What is the Least Common Multiple of 35943 and 35950?

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 35943 and 35950 is 1292150850.

LCM(35943,35950) = 1292150850

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Least Common Multiple of 35943 and 35950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35943 and 35950, than apply into the LCM equation.

GCF(35943,35950) = 1
LCM(35943,35950) = ( 35943 × 35950) / 1
LCM(35943,35950) = 1292150850 / 1
LCM(35943,35950) = 1292150850

Least Common Multiple (LCM) of 35943 and 35950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35943 and 35950. First we will calculate the prime factors of 35943 and 35950.

Prime Factorization of 35943

Prime factors of 35943 are 3, 11981. Prime factorization of 35943 in exponential form is:

35943 = 31 × 119811

Prime Factorization of 35950

Prime factors of 35950 are 2, 5, 719. Prime factorization of 35950 in exponential form is:

35950 = 21 × 52 × 7191

Now multiplying the highest exponent prime factors to calculate the LCM of 35943 and 35950.

LCM(35943,35950) = 31 × 119811 × 21 × 52 × 7191
LCM(35943,35950) = 1292150850