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What is the Least Common Multiple of 55743 and 55749?

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 55743 and 55749 is 1035872169.

LCM(55743,55749) = 1035872169

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Least Common Multiple of 55743 and 55749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55743 and 55749, than apply into the LCM equation.

GCF(55743,55749) = 3
LCM(55743,55749) = ( 55743 × 55749) / 3
LCM(55743,55749) = 3107616507 / 3
LCM(55743,55749) = 1035872169

Least Common Multiple (LCM) of 55743 and 55749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55743 and 55749. First we will calculate the prime factors of 55743 and 55749.

Prime Factorization of 55743

Prime factors of 55743 are 3, 17, 1093. Prime factorization of 55743 in exponential form is:

55743 = 31 × 171 × 10931

Prime Factorization of 55749

Prime factors of 55749 are 3, 18583. Prime factorization of 55749 in exponential form is:

55749 = 31 × 185831

Now multiplying the highest exponent prime factors to calculate the LCM of 55743 and 55749.

LCM(55743,55749) = 31 × 171 × 10931 × 185831
LCM(55743,55749) = 1035872169