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What is the Least Common Multiple of 55942 and 55947?

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 55947 is 3129787074.

LCM(55942,55947) = 3129787074

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Least Common Multiple of 55942 and 55947 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 55947, than apply into the LCM equation.

GCF(55942,55947) = 1
LCM(55942,55947) = ( 55942 × 55947) / 1
LCM(55942,55947) = 3129787074 / 1
LCM(55942,55947) = 3129787074

Least Common Multiple (LCM) of 55942 and 55947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55942 and 55947. First we will calculate the prime factors of 55942 and 55947.

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 55947

Prime factors of 55947 are 3, 17, 1097. Prime factorization of 55947 in exponential form is:

55947 = 31 × 171 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 55942 and 55947.

LCM(55942,55947) = 21 × 831 × 3371 × 31 × 171 × 10971
LCM(55942,55947) = 3129787074