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What is the Least Common Multiple of 1598 and 1613?

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 1598 and 1613 is 2577574.

LCM(1598,1613) = 2577574

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Least Common Multiple of 1598 and 1613 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1598 and 1613, than apply into the LCM equation.

GCF(1598,1613) = 1
LCM(1598,1613) = ( 1598 × 1613) / 1
LCM(1598,1613) = 2577574 / 1
LCM(1598,1613) = 2577574

Least Common Multiple (LCM) of 1598 and 1613 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1598 and 1613. First we will calculate the prime factors of 1598 and 1613.

Prime Factorization of 1598

Prime factors of 1598 are 2, 17, 47. Prime factorization of 1598 in exponential form is:

1598 = 21 × 171 × 471

Prime Factorization of 1613

Prime factors of 1613 are 1613. Prime factorization of 1613 in exponential form is:

1613 = 16131

Now multiplying the highest exponent prime factors to calculate the LCM of 1598 and 1613.

LCM(1598,1613) = 21 × 171 × 471 × 16131
LCM(1598,1613) = 2577574