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What is the Least Common Multiple of 1601 and 1619?

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 1601 and 1619 is 2592019.

LCM(1601,1619) = 2592019

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Least Common Multiple of 1601 and 1619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1601 and 1619, than apply into the LCM equation.

GCF(1601,1619) = 1
LCM(1601,1619) = ( 1601 × 1619) / 1
LCM(1601,1619) = 2592019 / 1
LCM(1601,1619) = 2592019

Least Common Multiple (LCM) of 1601 and 1619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1601 and 1619. First we will calculate the prime factors of 1601 and 1619.

Prime Factorization of 1601

Prime factors of 1601 are 1601. Prime factorization of 1601 in exponential form is:

1601 = 16011

Prime Factorization of 1619

Prime factors of 1619 are 1619. Prime factorization of 1619 in exponential form is:

1619 = 16191

Now multiplying the highest exponent prime factors to calculate the LCM of 1601 and 1619.

LCM(1601,1619) = 16011 × 16191
LCM(1601,1619) = 2592019