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What is the Least Common Multiple of 55758 and 55765?

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 55758 and 55765 is 3109344870.

LCM(55758,55765) = 3109344870

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Least Common Multiple of 55758 and 55765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55758 and 55765, than apply into the LCM equation.

GCF(55758,55765) = 1
LCM(55758,55765) = ( 55758 × 55765) / 1
LCM(55758,55765) = 3109344870 / 1
LCM(55758,55765) = 3109344870

Least Common Multiple (LCM) of 55758 and 55765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55758 and 55765. First we will calculate the prime factors of 55758 and 55765.

Prime Factorization of 55758

Prime factors of 55758 are 2, 3, 9293. Prime factorization of 55758 in exponential form is:

55758 = 21 × 31 × 92931

Prime Factorization of 55765

Prime factors of 55765 are 5, 19, 587. Prime factorization of 55765 in exponential form is:

55765 = 51 × 191 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 55758 and 55765.

LCM(55758,55765) = 21 × 31 × 92931 × 51 × 191 × 5871
LCM(55758,55765) = 3109344870