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What is the Least Common Multiple of 55746 and 55756?

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 55756 is 1554086988.

LCM(55746,55756) = 1554086988

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Least Common Multiple of 55746 and 55756 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 55756, than apply into the LCM equation.

GCF(55746,55756) = 2
LCM(55746,55756) = ( 55746 × 55756) / 2
LCM(55746,55756) = 3108173976 / 2
LCM(55746,55756) = 1554086988

Least Common Multiple (LCM) of 55746 and 55756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55746 and 55756. First we will calculate the prime factors of 55746 and 55756.

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 55756

Prime factors of 55756 are 2, 53, 263. Prime factorization of 55756 in exponential form is:

55756 = 22 × 531 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 55746 and 55756.

LCM(55746,55756) = 22 × 32 × 191 × 1631 × 531 × 2631
LCM(55746,55756) = 1554086988