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What is the Least Common Multiple of 55751 and 55770?

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 55751 and 55770 is 3109233270.

LCM(55751,55770) = 3109233270

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Least Common Multiple of 55751 and 55770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55751 and 55770, than apply into the LCM equation.

GCF(55751,55770) = 1
LCM(55751,55770) = ( 55751 × 55770) / 1
LCM(55751,55770) = 3109233270 / 1
LCM(55751,55770) = 3109233270

Least Common Multiple (LCM) of 55751 and 55770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55751 and 55770. First we will calculate the prime factors of 55751 and 55770.

Prime Factorization of 55751

Prime factors of 55751 are 197, 283. Prime factorization of 55751 in exponential form is:

55751 = 1971 × 2831

Prime Factorization of 55770

Prime factors of 55770 are 2, 3, 5, 11, 13. Prime factorization of 55770 in exponential form is:

55770 = 21 × 31 × 51 × 111 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 55751 and 55770.

LCM(55751,55770) = 1971 × 2831 × 21 × 31 × 51 × 111 × 132
LCM(55751,55770) = 3109233270