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What is the Least Common Multiple of 54316 and 54335?

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 54316 and 54335 is 2951259860.

LCM(54316,54335) = 2951259860

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Least Common Multiple of 54316 and 54335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54316 and 54335, than apply into the LCM equation.

GCF(54316,54335) = 1
LCM(54316,54335) = ( 54316 × 54335) / 1
LCM(54316,54335) = 2951259860 / 1
LCM(54316,54335) = 2951259860

Least Common Multiple (LCM) of 54316 and 54335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54316 and 54335. First we will calculate the prime factors of 54316 and 54335.

Prime Factorization of 54316

Prime factors of 54316 are 2, 37, 367. Prime factorization of 54316 in exponential form is:

54316 = 22 × 371 × 3671

Prime Factorization of 54335

Prime factors of 54335 are 5, 10867. Prime factorization of 54335 in exponential form is:

54335 = 51 × 108671

Now multiplying the highest exponent prime factors to calculate the LCM of 54316 and 54335.

LCM(54316,54335) = 22 × 371 × 3671 × 51 × 108671
LCM(54316,54335) = 2951259860