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What is the Least Common Multiple of 84664 and 84673?

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 84664 and 84673 is 7168754872.

LCM(84664,84673) = 7168754872

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Least Common Multiple of 84664 and 84673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84664 and 84673, than apply into the LCM equation.

GCF(84664,84673) = 1
LCM(84664,84673) = ( 84664 × 84673) / 1
LCM(84664,84673) = 7168754872 / 1
LCM(84664,84673) = 7168754872

Least Common Multiple (LCM) of 84664 and 84673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84664 and 84673. First we will calculate the prime factors of 84664 and 84673.

Prime Factorization of 84664

Prime factors of 84664 are 2, 19, 557. Prime factorization of 84664 in exponential form is:

84664 = 23 × 191 × 5571

Prime Factorization of 84673

Prime factors of 84673 are 84673. Prime factorization of 84673 in exponential form is:

84673 = 846731

Now multiplying the highest exponent prime factors to calculate the LCM of 84664 and 84673.

LCM(84664,84673) = 23 × 191 × 5571 × 846731
LCM(84664,84673) = 7168754872