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What is the Least Common Multiple of 1572 and 1581?

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 1572 and 1581 is 828444.

LCM(1572,1581) = 828444

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Least Common Multiple of 1572 and 1581 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1572 and 1581, than apply into the LCM equation.

GCF(1572,1581) = 3
LCM(1572,1581) = ( 1572 × 1581) / 3
LCM(1572,1581) = 2485332 / 3
LCM(1572,1581) = 828444

Least Common Multiple (LCM) of 1572 and 1581 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1572 and 1581. First we will calculate the prime factors of 1572 and 1581.

Prime Factorization of 1572

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

1572 = 22 × 31 × 1311

Prime Factorization of 1581

Prime factors of 1581 are 3, 17, 31. Prime factorization of 1581 in exponential form is:

1581 = 31 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 1572 and 1581.

LCM(1572,1581) = 22 × 31 × 1311 × 171 × 311
LCM(1572,1581) = 828444