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What is the Least Common Multiple of 54558 and 54568?

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 54558 and 54568 is 1488560472.

LCM(54558,54568) = 1488560472

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Least Common Multiple of 54558 and 54568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54558 and 54568, than apply into the LCM equation.

GCF(54558,54568) = 2
LCM(54558,54568) = ( 54558 × 54568) / 2
LCM(54558,54568) = 2977120944 / 2
LCM(54558,54568) = 1488560472

Least Common Multiple (LCM) of 54558 and 54568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54558 and 54568. First we will calculate the prime factors of 54558 and 54568.

Prime Factorization of 54558

Prime factors of 54558 are 2, 3, 7, 433. Prime factorization of 54558 in exponential form is:

54558 = 21 × 32 × 71 × 4331

Prime Factorization of 54568

Prime factors of 54568 are 2, 19, 359. Prime factorization of 54568 in exponential form is:

54568 = 23 × 191 × 3591

Now multiplying the highest exponent prime factors to calculate the LCM of 54558 and 54568.

LCM(54558,54568) = 23 × 32 × 71 × 4331 × 191 × 3591
LCM(54558,54568) = 1488560472