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What is the Least Common Multiple of 27954 and 27958?

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 27954 and 27958 is 390768966.

LCM(27954,27958) = 390768966

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Least Common Multiple of 27954 and 27958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27954 and 27958, than apply into the LCM equation.

GCF(27954,27958) = 2
LCM(27954,27958) = ( 27954 × 27958) / 2
LCM(27954,27958) = 781537932 / 2
LCM(27954,27958) = 390768966

Least Common Multiple (LCM) of 27954 and 27958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27954 and 27958. First we will calculate the prime factors of 27954 and 27958.

Prime Factorization of 27954

Prime factors of 27954 are 2, 3, 1553. Prime factorization of 27954 in exponential form is:

27954 = 21 × 32 × 15531

Prime Factorization of 27958

Prime factors of 27958 are 2, 7, 1997. Prime factorization of 27958 in exponential form is:

27958 = 21 × 71 × 19971

Now multiplying the highest exponent prime factors to calculate the LCM of 27954 and 27958.

LCM(27954,27958) = 21 × 32 × 15531 × 71 × 19971
LCM(27954,27958) = 390768966