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What is the Least Common Multiple of 56067 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 56067 and 56073 is 1047948297.

LCM(56067,56073) = 1047948297

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Least Common Multiple of 56067 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 56067 and 56073, than apply into the LCM equation.

GCF(56067,56073) = 3
LCM(56067,56073) = ( 56067 × 56073) / 3
LCM(56067,56073) = 3143844891 / 3
LCM(56067,56073) = 1047948297

Least Common Multiple (LCM) of 56067 and 56073 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56067 and 56073. First we will calculate the prime factors of 56067 and 56073.

Prime Factorization of 56067

Prime factors of 56067 are 3, 11, 1699. Prime factorization of 56067 in exponential form is:

56067 = 31 × 111 × 16991

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 56067 and 56073.

LCM(56067,56073) = 31 × 111 × 16991 × 186911
LCM(56067,56073) = 1047948297