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What is the Least Common Multiple of 54365 and 54378?

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 54378 is 2956259970.

LCM(54365,54378) = 2956259970

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Least Common Multiple of 54365 and 54378 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 54378, than apply into the LCM equation.

GCF(54365,54378) = 1
LCM(54365,54378) = ( 54365 × 54378) / 1
LCM(54365,54378) = 2956259970 / 1
LCM(54365,54378) = 2956259970

Least Common Multiple (LCM) of 54365 and 54378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54365 and 54378. First we will calculate the prime factors of 54365 and 54378.

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 54378

Prime factors of 54378 are 2, 3, 19, 53. Prime factorization of 54378 in exponential form is:

54378 = 21 × 33 × 191 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 54365 and 54378.

LCM(54365,54378) = 51 × 831 × 1311 × 21 × 33 × 191 × 531
LCM(54365,54378) = 2956259970