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What is the Least Common Multiple of 17950 and 17954?

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 17950 and 17954 is 161137150.

LCM(17950,17954) = 161137150

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Least Common Multiple of 17950 and 17954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17950 and 17954, than apply into the LCM equation.

GCF(17950,17954) = 2
LCM(17950,17954) = ( 17950 × 17954) / 2
LCM(17950,17954) = 322274300 / 2
LCM(17950,17954) = 161137150

Least Common Multiple (LCM) of 17950 and 17954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17950 and 17954. First we will calculate the prime factors of 17950 and 17954.

Prime Factorization of 17950

Prime factors of 17950 are 2, 5, 359. Prime factorization of 17950 in exponential form is:

17950 = 21 × 52 × 3591

Prime Factorization of 17954

Prime factors of 17954 are 2, 47, 191. Prime factorization of 17954 in exponential form is:

17954 = 21 × 471 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 17950 and 17954.

LCM(17950,17954) = 21 × 52 × 3591 × 471 × 1911
LCM(17950,17954) = 161137150