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What is the Least Common Multiple of 40663 and 40673?

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 40663 and 40673 is 1653886199.

LCM(40663,40673) = 1653886199

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Least Common Multiple of 40663 and 40673 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40663 and 40673, than apply into the LCM equation.

GCF(40663,40673) = 1
LCM(40663,40673) = ( 40663 × 40673) / 1
LCM(40663,40673) = 1653886199 / 1
LCM(40663,40673) = 1653886199

Least Common Multiple (LCM) of 40663 and 40673 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40663 and 40673. First we will calculate the prime factors of 40663 and 40673.

Prime Factorization of 40663

Prime factors of 40663 are 7, 37, 157. Prime factorization of 40663 in exponential form is:

40663 = 71 × 371 × 1571

Prime Factorization of 40673

Prime factors of 40673 are 89, 457. Prime factorization of 40673 in exponential form is:

40673 = 891 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 40663 and 40673.

LCM(40663,40673) = 71 × 371 × 1571 × 891 × 4571
LCM(40663,40673) = 1653886199