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What is the Least Common Multiple of 54365 and 54380?

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 54365 and 54380 is 591273740.

LCM(54365,54380) = 591273740

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Least Common Multiple of 54365 and 54380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54365 and 54380, than apply into the LCM equation.

GCF(54365,54380) = 5
LCM(54365,54380) = ( 54365 × 54380) / 5
LCM(54365,54380) = 2956368700 / 5
LCM(54365,54380) = 591273740

Least Common Multiple (LCM) of 54365 and 54380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54365 and 54380. First we will calculate the prime factors of 54365 and 54380.

Prime Factorization of 54365

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

54365 = 51 × 831 × 1311

Prime Factorization of 54380

Prime factors of 54380 are 2, 5, 2719. Prime factorization of 54380 in exponential form is:

54380 = 22 × 51 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 54365 and 54380.

LCM(54365,54380) = 51 × 831 × 1311 × 22 × 27191
LCM(54365,54380) = 591273740