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What is the Least Common Multiple of 1590 and 1601?

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 1590 and 1601 is 2545590.

LCM(1590,1601) = 2545590

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Least Common Multiple of 1590 and 1601 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1590 and 1601, than apply into the LCM equation.

GCF(1590,1601) = 1
LCM(1590,1601) = ( 1590 × 1601) / 1
LCM(1590,1601) = 2545590 / 1
LCM(1590,1601) = 2545590

Least Common Multiple (LCM) of 1590 and 1601 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1590 and 1601. First we will calculate the prime factors of 1590 and 1601.

Prime Factorization of 1590

Prime factors of 1590 are 2, 3, 5, 53. Prime factorization of 1590 in exponential form is:

1590 = 21 × 31 × 51 × 531

Prime Factorization of 1601

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

1601 = 16011

Now multiplying the highest exponent prime factors to calculate the LCM of 1590 and 1601.

LCM(1590,1601) = 21 × 31 × 51 × 531 × 16011
LCM(1590,1601) = 2545590