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What is the Least Common Multiple of 54056 and 54066?

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 54056 and 54066 is 1461295848.

LCM(54056,54066) = 1461295848

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Least Common Multiple of 54056 and 54066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54056 and 54066, than apply into the LCM equation.

GCF(54056,54066) = 2
LCM(54056,54066) = ( 54056 × 54066) / 2
LCM(54056,54066) = 2922591696 / 2
LCM(54056,54066) = 1461295848

Least Common Multiple (LCM) of 54056 and 54066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54056 and 54066. First we will calculate the prime factors of 54056 and 54066.

Prime Factorization of 54056

Prime factors of 54056 are 2, 29, 233. Prime factorization of 54056 in exponential form is:

54056 = 23 × 291 × 2331

Prime Factorization of 54066

Prime factors of 54066 are 2, 3, 9011. Prime factorization of 54066 in exponential form is:

54066 = 21 × 31 × 90111

Now multiplying the highest exponent prime factors to calculate the LCM of 54056 and 54066.

LCM(54056,54066) = 23 × 291 × 2331 × 31 × 90111
LCM(54056,54066) = 1461295848