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What is the Least Common Multiple of 54358 and 54365?

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 54358 and 54365 is 2955172670.

LCM(54358,54365) = 2955172670

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Least Common Multiple of 54358 and 54365 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54358 and 54365, than apply into the LCM equation.

GCF(54358,54365) = 1
LCM(54358,54365) = ( 54358 × 54365) / 1
LCM(54358,54365) = 2955172670 / 1
LCM(54358,54365) = 2955172670

Least Common Multiple (LCM) of 54358 and 54365 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54358 and 54365. First we will calculate the prime factors of 54358 and 54365.

Prime Factorization of 54358

Prime factors of 54358 are 2, 27179. Prime factorization of 54358 in exponential form is:

54358 = 21 × 271791

Prime Factorization of 54365

Prime factors of 54365 are 5, 83, 131. Prime factorization of 54365 in exponential form is:

54365 = 51 × 831 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 54358 and 54365.

LCM(54358,54365) = 21 × 271791 × 51 × 831 × 1311
LCM(54358,54365) = 2955172670