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What is the Least Common Multiple of 55365 and 55378?

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 55365 and 55378 is 3066002970.

LCM(55365,55378) = 3066002970

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Least Common Multiple of 55365 and 55378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55365 and 55378, than apply into the LCM equation.

GCF(55365,55378) = 1
LCM(55365,55378) = ( 55365 × 55378) / 1
LCM(55365,55378) = 3066002970 / 1
LCM(55365,55378) = 3066002970

Least Common Multiple (LCM) of 55365 and 55378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55365 and 55378. First we will calculate the prime factors of 55365 and 55378.

Prime Factorization of 55365

Prime factors of 55365 are 3, 5, 3691. Prime factorization of 55365 in exponential form is:

55365 = 31 × 51 × 36911

Prime Factorization of 55378

Prime factors of 55378 are 2, 27689. Prime factorization of 55378 in exponential form is:

55378 = 21 × 276891

Now multiplying the highest exponent prime factors to calculate the LCM of 55365 and 55378.

LCM(55365,55378) = 31 × 51 × 36911 × 21 × 276891
LCM(55365,55378) = 3066002970