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What is the Least Common Multiple of 54095 and 54104?

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 54095 and 54104 is 2926755880.

LCM(54095,54104) = 2926755880

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Least Common Multiple of 54095 and 54104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54095 and 54104, than apply into the LCM equation.

GCF(54095,54104) = 1
LCM(54095,54104) = ( 54095 × 54104) / 1
LCM(54095,54104) = 2926755880 / 1
LCM(54095,54104) = 2926755880

Least Common Multiple (LCM) of 54095 and 54104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54095 and 54104. First we will calculate the prime factors of 54095 and 54104.

Prime Factorization of 54095

Prime factors of 54095 are 5, 31, 349. Prime factorization of 54095 in exponential form is:

54095 = 51 × 311 × 3491

Prime Factorization of 54104

Prime factors of 54104 are 2, 6763. Prime factorization of 54104 in exponential form is:

54104 = 23 × 67631

Now multiplying the highest exponent prime factors to calculate the LCM of 54095 and 54104.

LCM(54095,54104) = 51 × 311 × 3491 × 23 × 67631
LCM(54095,54104) = 2926755880