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What is the Least Common Multiple of 1604 and 1618?

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 1604 and 1618 is 1297636.

LCM(1604,1618) = 1297636

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Least Common Multiple of 1604 and 1618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1604 and 1618, than apply into the LCM equation.

GCF(1604,1618) = 2
LCM(1604,1618) = ( 1604 × 1618) / 2
LCM(1604,1618) = 2595272 / 2
LCM(1604,1618) = 1297636

Least Common Multiple (LCM) of 1604 and 1618 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1604 and 1618. First we will calculate the prime factors of 1604 and 1618.

Prime Factorization of 1604

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

1604 = 22 × 4011

Prime Factorization of 1618

Prime factors of 1618 are 2, 809. Prime factorization of 1618 in exponential form is:

1618 = 21 × 8091

Now multiplying the highest exponent prime factors to calculate the LCM of 1604 and 1618.

LCM(1604,1618) = 22 × 4011 × 8091
LCM(1604,1618) = 1297636