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What is the Least Common Multiple of 56243 and 56254?

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 56243 and 56254 is 287626702.

LCM(56243,56254) = 287626702

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Least Common Multiple of 56243 and 56254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56243 and 56254, than apply into the LCM equation.

GCF(56243,56254) = 11
LCM(56243,56254) = ( 56243 × 56254) / 11
LCM(56243,56254) = 3163893722 / 11
LCM(56243,56254) = 287626702

Least Common Multiple (LCM) of 56243 and 56254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56243 and 56254. First we will calculate the prime factors of 56243 and 56254.

Prime Factorization of 56243

Prime factors of 56243 are 11, 5113. Prime factorization of 56243 in exponential form is:

56243 = 111 × 51131

Prime Factorization of 56254

Prime factors of 56254 are 2, 11, 2557. Prime factorization of 56254 in exponential form is:

56254 = 21 × 111 × 25571

Now multiplying the highest exponent prime factors to calculate the LCM of 56243 and 56254.

LCM(56243,56254) = 111 × 51131 × 21 × 25571
LCM(56243,56254) = 287626702