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What is the Least Common Multiple of 55734 and 55747?

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 55734 and 55747 is 3107003298.

LCM(55734,55747) = 3107003298

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Least Common Multiple of 55734 and 55747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55734 and 55747, than apply into the LCM equation.

GCF(55734,55747) = 1
LCM(55734,55747) = ( 55734 × 55747) / 1
LCM(55734,55747) = 3107003298 / 1
LCM(55734,55747) = 3107003298

Least Common Multiple (LCM) of 55734 and 55747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55734 and 55747. First we will calculate the prime factors of 55734 and 55747.

Prime Factorization of 55734

Prime factors of 55734 are 2, 3, 7, 1327. Prime factorization of 55734 in exponential form is:

55734 = 21 × 31 × 71 × 13271

Prime Factorization of 55747

Prime factors of 55747 are 107, 521. Prime factorization of 55747 in exponential form is:

55747 = 1071 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 55734 and 55747.

LCM(55734,55747) = 21 × 31 × 71 × 13271 × 1071 × 5211
LCM(55734,55747) = 3107003298