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What is the Least Common Multiple of 54346 and 54356?

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 54346 and 54356 is 1477015588.

LCM(54346,54356) = 1477015588

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Least Common Multiple of 54346 and 54356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54346 and 54356, than apply into the LCM equation.

GCF(54346,54356) = 2
LCM(54346,54356) = ( 54346 × 54356) / 2
LCM(54346,54356) = 2954031176 / 2
LCM(54346,54356) = 1477015588

Least Common Multiple (LCM) of 54346 and 54356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54346 and 54356. First we will calculate the prime factors of 54346 and 54356.

Prime Factorization of 54346

Prime factors of 54346 are 2, 29, 937. Prime factorization of 54346 in exponential form is:

54346 = 21 × 291 × 9371

Prime Factorization of 54356

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

54356 = 22 × 1071 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 54346 and 54356.

LCM(54346,54356) = 22 × 291 × 9371 × 1071 × 1271
LCM(54346,54356) = 1477015588