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What is the Least Common Multiple of 56068 and 56073?

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 56068 and 56073 is 3143900964.

LCM(56068,56073) = 3143900964

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Least Common Multiple of 56068 and 56073 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56068 and 56073, than apply into the LCM equation.

GCF(56068,56073) = 1
LCM(56068,56073) = ( 56068 × 56073) / 1
LCM(56068,56073) = 3143900964 / 1
LCM(56068,56073) = 3143900964

Least Common Multiple (LCM) of 56068 and 56073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56068 and 56073. First we will calculate the prime factors of 56068 and 56073.

Prime Factorization of 56068

Prime factors of 56068 are 2, 107, 131. Prime factorization of 56068 in exponential form is:

56068 = 22 × 1071 × 1311

Prime Factorization of 56073

Prime factors of 56073 are 3, 18691. Prime factorization of 56073 in exponential form is:

56073 = 31 × 186911

Now multiplying the highest exponent prime factors to calculate the LCM of 56068 and 56073.

LCM(56068,56073) = 22 × 1071 × 1311 × 31 × 186911
LCM(56068,56073) = 3143900964