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What is the Least Common Multiple of 55744 and 55764?

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 55764 is 777127104.

LCM(55744,55764) = 777127104

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Least Common Multiple of 55744 and 55764 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 55764, than apply into the LCM equation.

GCF(55744,55764) = 4
LCM(55744,55764) = ( 55744 × 55764) / 4
LCM(55744,55764) = 3108508416 / 4
LCM(55744,55764) = 777127104

Least Common Multiple (LCM) of 55744 and 55764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55744 and 55764. First we will calculate the prime factors of 55744 and 55764.

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 55764

Prime factors of 55764 are 2, 3, 1549. Prime factorization of 55764 in exponential form is:

55764 = 22 × 32 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 55744 and 55764.

LCM(55744,55764) = 26 × 131 × 671 × 32 × 15491
LCM(55744,55764) = 777127104