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What is the Least Common Multiple of 54345 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 54345 and 54356 is 2953976820.

LCM(54345,54356) = 2953976820

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Least Common Multiple of 54345 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 54345 and 54356, than apply into the LCM equation.

GCF(54345,54356) = 1
LCM(54345,54356) = ( 54345 × 54356) / 1
LCM(54345,54356) = 2953976820 / 1
LCM(54345,54356) = 2953976820

Least Common Multiple (LCM) of 54345 and 54356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54345 and 54356. First we will calculate the prime factors of 54345 and 54356.

Prime Factorization of 54345

Prime factors of 54345 are 3, 5, 3623. Prime factorization of 54345 in exponential form is:

54345 = 31 × 51 × 36231

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 54345 and 54356.

LCM(54345,54356) = 31 × 51 × 36231 × 22 × 1071 × 1271
LCM(54345,54356) = 2953976820