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What is the Least Common Multiple of 1561 and 1572?

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 1572 is 2453892.

LCM(1561,1572) = 2453892

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Least Common Multiple of 1561 and 1572 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 1572, than apply into the LCM equation.

GCF(1561,1572) = 1
LCM(1561,1572) = ( 1561 × 1572) / 1
LCM(1561,1572) = 2453892 / 1
LCM(1561,1572) = 2453892

Least Common Multiple (LCM) of 1561 and 1572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1561 and 1572. First we will calculate the prime factors of 1561 and 1572.

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 1572

Prime factors of 1572 are 2, 3, 131. Prime factorization of 1572 in exponential form is:

1572 = 22 × 31 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 1561 and 1572.

LCM(1561,1572) = 71 × 2231 × 22 × 31 × 1311
LCM(1561,1572) = 2453892