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What is the Least Common Multiple of 54356 and 54364?

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 54356 and 54364 is 738752396.

LCM(54356,54364) = 738752396

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Least Common Multiple of 54356 and 54364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54356 and 54364, than apply into the LCM equation.

GCF(54356,54364) = 4
LCM(54356,54364) = ( 54356 × 54364) / 4
LCM(54356,54364) = 2955009584 / 4
LCM(54356,54364) = 738752396

Least Common Multiple (LCM) of 54356 and 54364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54356 and 54364. First we will calculate the prime factors of 54356 and 54364.

Prime Factorization of 54356

Prime factors of 54356 are 2, 107, 127. Prime factorization of 54356 in exponential form is:

54356 = 22 × 1071 × 1271

Prime Factorization of 54364

Prime factors of 54364 are 2, 13591. Prime factorization of 54364 in exponential form is:

54364 = 22 × 135911

Now multiplying the highest exponent prime factors to calculate the LCM of 54356 and 54364.

LCM(54356,54364) = 22 × 1071 × 1271 × 135911
LCM(54356,54364) = 738752396