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What is the Least Common Multiple of 55746 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 55746 and 55764 is 172701108.

LCM(55746,55764) = 172701108

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Least Common Multiple of 55746 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 55746 and 55764, than apply into the LCM equation.

GCF(55746,55764) = 18
LCM(55746,55764) = ( 55746 × 55764) / 18
LCM(55746,55764) = 3108619944 / 18
LCM(55746,55764) = 172701108

Least Common Multiple (LCM) of 55746 and 55764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55746 and 55764. First we will calculate the prime factors of 55746 and 55764.

Prime Factorization of 55746

Prime factors of 55746 are 2, 3, 19, 163. Prime factorization of 55746 in exponential form is:

55746 = 21 × 32 × 191 × 1631

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 55746 and 55764.

LCM(55746,55764) = 22 × 32 × 191 × 1631 × 15491
LCM(55746,55764) = 172701108