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What is the Least Common Multiple of 1555 and 1563?

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 1555 and 1563 is 2430465.

LCM(1555,1563) = 2430465

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Least Common Multiple of 1555 and 1563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1555 and 1563, than apply into the LCM equation.

GCF(1555,1563) = 1
LCM(1555,1563) = ( 1555 × 1563) / 1
LCM(1555,1563) = 2430465 / 1
LCM(1555,1563) = 2430465

Least Common Multiple (LCM) of 1555 and 1563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1555 and 1563. First we will calculate the prime factors of 1555 and 1563.

Prime Factorization of 1555

Prime factors of 1555 are 5, 311. Prime factorization of 1555 in exponential form is:

1555 = 51 × 3111

Prime Factorization of 1563

Prime factors of 1563 are 3, 521. Prime factorization of 1563 in exponential form is:

1563 = 31 × 5211

Now multiplying the highest exponent prime factors to calculate the LCM of 1555 and 1563.

LCM(1555,1563) = 51 × 3111 × 31 × 5211
LCM(1555,1563) = 2430465