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What is the Least Common Multiple of 54444 and 54460?

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 54444 and 54460 is 741255060.

LCM(54444,54460) = 741255060

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Least Common Multiple of 54444 and 54460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54444 and 54460, than apply into the LCM equation.

GCF(54444,54460) = 4
LCM(54444,54460) = ( 54444 × 54460) / 4
LCM(54444,54460) = 2965020240 / 4
LCM(54444,54460) = 741255060

Least Common Multiple (LCM) of 54444 and 54460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54444 and 54460. First we will calculate the prime factors of 54444 and 54460.

Prime Factorization of 54444

Prime factors of 54444 are 2, 3, 13, 349. Prime factorization of 54444 in exponential form is:

54444 = 22 × 31 × 131 × 3491

Prime Factorization of 54460

Prime factors of 54460 are 2, 5, 7, 389. Prime factorization of 54460 in exponential form is:

54460 = 22 × 51 × 71 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 54444 and 54460.

LCM(54444,54460) = 22 × 31 × 131 × 3491 × 51 × 71 × 3891
LCM(54444,54460) = 741255060