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What is the Least Common Multiple of 16950 and 16964?

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 16950 and 16964 is 143769900.

LCM(16950,16964) = 143769900

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Least Common Multiple of 16950 and 16964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16950 and 16964, than apply into the LCM equation.

GCF(16950,16964) = 2
LCM(16950,16964) = ( 16950 × 16964) / 2
LCM(16950,16964) = 287539800 / 2
LCM(16950,16964) = 143769900

Least Common Multiple (LCM) of 16950 and 16964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16950 and 16964. First we will calculate the prime factors of 16950 and 16964.

Prime Factorization of 16950

Prime factors of 16950 are 2, 3, 5, 113. Prime factorization of 16950 in exponential form is:

16950 = 21 × 31 × 52 × 1131

Prime Factorization of 16964

Prime factors of 16964 are 2, 4241. Prime factorization of 16964 in exponential form is:

16964 = 22 × 42411

Now multiplying the highest exponent prime factors to calculate the LCM of 16950 and 16964.

LCM(16950,16964) = 22 × 31 × 52 × 1131 × 42411
LCM(16950,16964) = 143769900