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What is the Least Common Multiple of 56276 and 56288?

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 56276 and 56288 is 791915872.

LCM(56276,56288) = 791915872

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Least Common Multiple of 56276 and 56288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56276 and 56288, than apply into the LCM equation.

GCF(56276,56288) = 4
LCM(56276,56288) = ( 56276 × 56288) / 4
LCM(56276,56288) = 3167663488 / 4
LCM(56276,56288) = 791915872

Least Common Multiple (LCM) of 56276 and 56288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56276 and 56288. First we will calculate the prime factors of 56276 and 56288.

Prime Factorization of 56276

Prime factors of 56276 are 2, 11, 1279. Prime factorization of 56276 in exponential form is:

56276 = 22 × 111 × 12791

Prime Factorization of 56288

Prime factors of 56288 are 2, 1759. Prime factorization of 56288 in exponential form is:

56288 = 25 × 17591

Now multiplying the highest exponent prime factors to calculate the LCM of 56276 and 56288.

LCM(56276,56288) = 25 × 111 × 12791 × 17591
LCM(56276,56288) = 791915872