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What is the Least Common Multiple of 55744 and 55763?

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 55744 and 55763 is 3108452672.

LCM(55744,55763) = 3108452672

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Least Common Multiple of 55744 and 55763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55744 and 55763, than apply into the LCM equation.

GCF(55744,55763) = 1
LCM(55744,55763) = ( 55744 × 55763) / 1
LCM(55744,55763) = 3108452672 / 1
LCM(55744,55763) = 3108452672

Least Common Multiple (LCM) of 55744 and 55763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55744 and 55763. First we will calculate the prime factors of 55744 and 55763.

Prime Factorization of 55744

Prime factors of 55744 are 2, 13, 67. Prime factorization of 55744 in exponential form is:

55744 = 26 × 131 × 671

Prime Factorization of 55763

Prime factors of 55763 are 55763. Prime factorization of 55763 in exponential form is:

55763 = 557631

Now multiplying the highest exponent prime factors to calculate the LCM of 55744 and 55763.

LCM(55744,55763) = 26 × 131 × 671 × 557631
LCM(55744,55763) = 3108452672