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What is the Least Common Multiple of 56055 and 56059?

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 56055 and 56059 is 3142387245.

LCM(56055,56059) = 3142387245

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Least Common Multiple of 56055 and 56059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56055 and 56059, than apply into the LCM equation.

GCF(56055,56059) = 1
LCM(56055,56059) = ( 56055 × 56059) / 1
LCM(56055,56059) = 3142387245 / 1
LCM(56055,56059) = 3142387245

Least Common Multiple (LCM) of 56055 and 56059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56055 and 56059. First we will calculate the prime factors of 56055 and 56059.

Prime Factorization of 56055

Prime factors of 56055 are 3, 5, 37, 101. Prime factorization of 56055 in exponential form is:

56055 = 31 × 51 × 371 × 1011

Prime Factorization of 56059

Prime factors of 56059 are 61, 919. Prime factorization of 56059 in exponential form is:

56059 = 611 × 9191

Now multiplying the highest exponent prime factors to calculate the LCM of 56055 and 56059.

LCM(56055,56059) = 31 × 51 × 371 × 1011 × 611 × 9191
LCM(56055,56059) = 3142387245