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What is the Least Common Multiple of 55946 and 55958?

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 55946 and 55958 is 1565313134.

LCM(55946,55958) = 1565313134

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Least Common Multiple of 55946 and 55958 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55946 and 55958, than apply into the LCM equation.

GCF(55946,55958) = 2
LCM(55946,55958) = ( 55946 × 55958) / 2
LCM(55946,55958) = 3130626268 / 2
LCM(55946,55958) = 1565313134

Least Common Multiple (LCM) of 55946 and 55958 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55946 and 55958. First we will calculate the prime factors of 55946 and 55958.

Prime Factorization of 55946

Prime factors of 55946 are 2, 11, 2543. Prime factorization of 55946 in exponential form is:

55946 = 21 × 111 × 25431

Prime Factorization of 55958

Prime factors of 55958 are 2, 7, 571. Prime factorization of 55958 in exponential form is:

55958 = 21 × 72 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 55946 and 55958.

LCM(55946,55958) = 21 × 111 × 25431 × 72 × 5711
LCM(55946,55958) = 1565313134