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What is the Least Common Multiple of 55942 and 55946?

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 55942 and 55946 is 1564865566.

LCM(55942,55946) = 1564865566

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Least Common Multiple of 55942 and 55946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55942 and 55946, than apply into the LCM equation.

GCF(55942,55946) = 2
LCM(55942,55946) = ( 55942 × 55946) / 2
LCM(55942,55946) = 3129731132 / 2
LCM(55942,55946) = 1564865566

Least Common Multiple (LCM) of 55942 and 55946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55942 and 55946. First we will calculate the prime factors of 55942 and 55946.

Prime Factorization of 55942

Prime factors of 55942 are 2, 83, 337. Prime factorization of 55942 in exponential form is:

55942 = 21 × 831 × 3371

Prime Factorization of 55946

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

55946 = 21 × 111 × 25431

Now multiplying the highest exponent prime factors to calculate the LCM of 55942 and 55946.

LCM(55942,55946) = 21 × 831 × 3371 × 111 × 25431
LCM(55942,55946) = 1564865566