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What is the Least Common Multiple of 55962 and 55981?

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 55962 and 55981 is 3132808722.

LCM(55962,55981) = 3132808722

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Least Common Multiple of 55962 and 55981 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55962 and 55981, than apply into the LCM equation.

GCF(55962,55981) = 1
LCM(55962,55981) = ( 55962 × 55981) / 1
LCM(55962,55981) = 3132808722 / 1
LCM(55962,55981) = 3132808722

Least Common Multiple (LCM) of 55962 and 55981 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55962 and 55981. First we will calculate the prime factors of 55962 and 55981.

Prime Factorization of 55962

Prime factors of 55962 are 2, 3, 3109. Prime factorization of 55962 in exponential form is:

55962 = 21 × 32 × 31091

Prime Factorization of 55981

Prime factors of 55981 are 17, 37, 89. Prime factorization of 55981 in exponential form is:

55981 = 171 × 371 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 55962 and 55981.

LCM(55962,55981) = 21 × 32 × 31091 × 171 × 371 × 891
LCM(55962,55981) = 3132808722