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What is the Least Common Multiple of 56066 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 56066 and 56073 is 3143788818.

LCM(56066,56073) = 3143788818

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Least Common Multiple of 56066 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 56066 and 56073, than apply into the LCM equation.

GCF(56066,56073) = 1
LCM(56066,56073) = ( 56066 × 56073) / 1
LCM(56066,56073) = 3143788818 / 1
LCM(56066,56073) = 3143788818

Least Common Multiple (LCM) of 56066 and 56073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56066 and 56073. First we will calculate the prime factors of 56066 and 56073.

Prime Factorization of 56066

Prime factors of 56066 are 2, 17, 97. Prime factorization of 56066 in exponential form is:

56066 = 21 × 172 × 971

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 56066 and 56073.

LCM(56066,56073) = 21 × 172 × 971 × 31 × 186911
LCM(56066,56073) = 3143788818