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What is the Least Common Multiple of 1594 and 1604?

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 1594 and 1604 is 1278388.

LCM(1594,1604) = 1278388

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Least Common Multiple of 1594 and 1604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1594 and 1604, than apply into the LCM equation.

GCF(1594,1604) = 2
LCM(1594,1604) = ( 1594 × 1604) / 2
LCM(1594,1604) = 2556776 / 2
LCM(1594,1604) = 1278388

Least Common Multiple (LCM) of 1594 and 1604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1594 and 1604. First we will calculate the prime factors of 1594 and 1604.

Prime Factorization of 1594

Prime factors of 1594 are 2, 797. Prime factorization of 1594 in exponential form is:

1594 = 21 × 7971

Prime Factorization of 1604

Prime factors of 1604 are 2, 401. Prime factorization of 1604 in exponential form is:

1604 = 22 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 1594 and 1604.

LCM(1594,1604) = 22 × 7971 × 4011
LCM(1594,1604) = 1278388