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What is the Least Common Multiple of 1599 and 1610?

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 1599 and 1610 is 2574390.

LCM(1599,1610) = 2574390

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Least Common Multiple of 1599 and 1610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1599 and 1610, than apply into the LCM equation.

GCF(1599,1610) = 1
LCM(1599,1610) = ( 1599 × 1610) / 1
LCM(1599,1610) = 2574390 / 1
LCM(1599,1610) = 2574390

Least Common Multiple (LCM) of 1599 and 1610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1599 and 1610. First we will calculate the prime factors of 1599 and 1610.

Prime Factorization of 1599

Prime factors of 1599 are 3, 13, 41. Prime factorization of 1599 in exponential form is:

1599 = 31 × 131 × 411

Prime Factorization of 1610

Prime factors of 1610 are 2, 5, 7, 23. Prime factorization of 1610 in exponential form is:

1610 = 21 × 51 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 1599 and 1610.

LCM(1599,1610) = 31 × 131 × 411 × 21 × 51 × 71 × 231
LCM(1599,1610) = 2574390