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What is the Least Common Multiple of 54428 and 54441?

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 54428 and 54441 is 2963114748.

LCM(54428,54441) = 2963114748

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Least Common Multiple of 54428 and 54441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54428 and 54441, than apply into the LCM equation.

GCF(54428,54441) = 1
LCM(54428,54441) = ( 54428 × 54441) / 1
LCM(54428,54441) = 2963114748 / 1
LCM(54428,54441) = 2963114748

Least Common Multiple (LCM) of 54428 and 54441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54428 and 54441. First we will calculate the prime factors of 54428 and 54441.

Prime Factorization of 54428

Prime factors of 54428 are 2, 11, 1237. Prime factorization of 54428 in exponential form is:

54428 = 22 × 111 × 12371

Prime Factorization of 54441

Prime factors of 54441 are 3, 23, 263. Prime factorization of 54441 in exponential form is:

54441 = 32 × 231 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 54428 and 54441.

LCM(54428,54441) = 22 × 111 × 12371 × 32 × 231 × 2631
LCM(54428,54441) = 2963114748