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What is the Least Common Multiple of 5954 and 5972?

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 5954 and 5972 is 17778644.

LCM(5954,5972) = 17778644

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Least Common Multiple of 5954 and 5972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5954 and 5972, than apply into the LCM equation.

GCF(5954,5972) = 2
LCM(5954,5972) = ( 5954 × 5972) / 2
LCM(5954,5972) = 35557288 / 2
LCM(5954,5972) = 17778644

Least Common Multiple (LCM) of 5954 and 5972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5954 and 5972. First we will calculate the prime factors of 5954 and 5972.

Prime Factorization of 5954

Prime factors of 5954 are 2, 13, 229. Prime factorization of 5954 in exponential form is:

5954 = 21 × 131 × 2291

Prime Factorization of 5972

Prime factors of 5972 are 2, 1493. Prime factorization of 5972 in exponential form is:

5972 = 22 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 5954 and 5972.

LCM(5954,5972) = 22 × 131 × 2291 × 14931
LCM(5954,5972) = 17778644