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What is the Least Common Multiple of 56654 and 56673?

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 56654 and 56673 is 3210752142.

LCM(56654,56673) = 3210752142

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Least Common Multiple of 56654 and 56673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56654 and 56673, than apply into the LCM equation.

GCF(56654,56673) = 1
LCM(56654,56673) = ( 56654 × 56673) / 1
LCM(56654,56673) = 3210752142 / 1
LCM(56654,56673) = 3210752142

Least Common Multiple (LCM) of 56654 and 56673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56654 and 56673. First we will calculate the prime factors of 56654 and 56673.

Prime Factorization of 56654

Prime factors of 56654 are 2, 13, 2179. Prime factorization of 56654 in exponential form is:

56654 = 21 × 131 × 21791

Prime Factorization of 56673

Prime factors of 56673 are 3, 2099. Prime factorization of 56673 in exponential form is:

56673 = 33 × 20991

Now multiplying the highest exponent prime factors to calculate the LCM of 56654 and 56673.

LCM(56654,56673) = 21 × 131 × 21791 × 33 × 20991
LCM(56654,56673) = 3210752142