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What is the Least Common Multiple of 56097 and 56112?

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 56097 and 56112 is 1049238288.

LCM(56097,56112) = 1049238288

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Least Common Multiple of 56097 and 56112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56097 and 56112, than apply into the LCM equation.

GCF(56097,56112) = 3
LCM(56097,56112) = ( 56097 × 56112) / 3
LCM(56097,56112) = 3147714864 / 3
LCM(56097,56112) = 1049238288

Least Common Multiple (LCM) of 56097 and 56112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56097 and 56112. First we will calculate the prime factors of 56097 and 56112.

Prime Factorization of 56097

Prime factors of 56097 are 3, 23, 271. Prime factorization of 56097 in exponential form is:

56097 = 32 × 231 × 2711

Prime Factorization of 56112

Prime factors of 56112 are 2, 3, 7, 167. Prime factorization of 56112 in exponential form is:

56112 = 24 × 31 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 56097 and 56112.

LCM(56097,56112) = 32 × 231 × 2711 × 24 × 71 × 1671
LCM(56097,56112) = 1049238288