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What is the Least Common Multiple of 54159 and 54165?

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 54159 and 54165 is 977840745.

LCM(54159,54165) = 977840745

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Least Common Multiple of 54159 and 54165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54159 and 54165, than apply into the LCM equation.

GCF(54159,54165) = 3
LCM(54159,54165) = ( 54159 × 54165) / 3
LCM(54159,54165) = 2933522235 / 3
LCM(54159,54165) = 977840745

Least Common Multiple (LCM) of 54159 and 54165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54159 and 54165. First we will calculate the prime factors of 54159 and 54165.

Prime Factorization of 54159

Prime factors of 54159 are 3, 7, 2579. Prime factorization of 54159 in exponential form is:

54159 = 31 × 71 × 25791

Prime Factorization of 54165

Prime factors of 54165 are 3, 5, 23, 157. Prime factorization of 54165 in exponential form is:

54165 = 31 × 51 × 231 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 54159 and 54165.

LCM(54159,54165) = 31 × 71 × 25791 × 51 × 231 × 1571
LCM(54159,54165) = 977840745