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What is the Least Common Multiple of 54276 and 54296?

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 54276 and 54296 is 736742424.

LCM(54276,54296) = 736742424

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Least Common Multiple of 54276 and 54296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54276 and 54296, than apply into the LCM equation.

GCF(54276,54296) = 4
LCM(54276,54296) = ( 54276 × 54296) / 4
LCM(54276,54296) = 2946969696 / 4
LCM(54276,54296) = 736742424

Least Common Multiple (LCM) of 54276 and 54296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54276 and 54296. First we will calculate the prime factors of 54276 and 54296.

Prime Factorization of 54276

Prime factors of 54276 are 2, 3, 4523. Prime factorization of 54276 in exponential form is:

54276 = 22 × 31 × 45231

Prime Factorization of 54296

Prime factors of 54296 are 2, 11, 617. Prime factorization of 54296 in exponential form is:

54296 = 23 × 111 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 54276 and 54296.

LCM(54276,54296) = 23 × 31 × 45231 × 111 × 6171
LCM(54276,54296) = 736742424