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What is the Least Common Multiple of 1561 and 1579?

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 1561 and 1579 is 2464819.

LCM(1561,1579) = 2464819

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Least Common Multiple of 1561 and 1579 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1561 and 1579, than apply into the LCM equation.

GCF(1561,1579) = 1
LCM(1561,1579) = ( 1561 × 1579) / 1
LCM(1561,1579) = 2464819 / 1
LCM(1561,1579) = 2464819

Least Common Multiple (LCM) of 1561 and 1579 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1561 and 1579. First we will calculate the prime factors of 1561 and 1579.

Prime Factorization of 1561

Prime factors of 1561 are 7, 223. Prime factorization of 1561 in exponential form is:

1561 = 71 × 2231

Prime Factorization of 1579

Prime factors of 1579 are 1579. Prime factorization of 1579 in exponential form is:

1579 = 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 1561 and 1579.

LCM(1561,1579) = 71 × 2231 × 15791
LCM(1561,1579) = 2464819