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What is the Least Common Multiple of 55729 and 55735?

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 55729 and 55735 is 3106055815.

LCM(55729,55735) = 3106055815

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Least Common Multiple of 55729 and 55735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55729 and 55735, than apply into the LCM equation.

GCF(55729,55735) = 1
LCM(55729,55735) = ( 55729 × 55735) / 1
LCM(55729,55735) = 3106055815 / 1
LCM(55729,55735) = 3106055815

Least Common Multiple (LCM) of 55729 and 55735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55729 and 55735. First we will calculate the prime factors of 55729 and 55735.

Prime Factorization of 55729

Prime factors of 55729 are 23, 2423. Prime factorization of 55729 in exponential form is:

55729 = 231 × 24231

Prime Factorization of 55735

Prime factors of 55735 are 5, 71, 157. Prime factorization of 55735 in exponential form is:

55735 = 51 × 711 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 55729 and 55735.

LCM(55729,55735) = 231 × 24231 × 51 × 711 × 1571
LCM(55729,55735) = 3106055815