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What is the Least Common Multiple of 54966 and 54986?

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 54966 and 54986 is 1511180238.

LCM(54966,54986) = 1511180238

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Least Common Multiple of 54966 and 54986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54966 and 54986, than apply into the LCM equation.

GCF(54966,54986) = 2
LCM(54966,54986) = ( 54966 × 54986) / 2
LCM(54966,54986) = 3022360476 / 2
LCM(54966,54986) = 1511180238

Least Common Multiple (LCM) of 54966 and 54986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54966 and 54986. First we will calculate the prime factors of 54966 and 54986.

Prime Factorization of 54966

Prime factors of 54966 are 2, 3, 9161. Prime factorization of 54966 in exponential form is:

54966 = 21 × 31 × 91611

Prime Factorization of 54986

Prime factors of 54986 are 2, 19, 1447. Prime factorization of 54986 in exponential form is:

54986 = 21 × 191 × 14471

Now multiplying the highest exponent prime factors to calculate the LCM of 54966 and 54986.

LCM(54966,54986) = 21 × 31 × 91611 × 191 × 14471
LCM(54966,54986) = 1511180238