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What is the Least Common Multiple of 1544 and 1551?

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 1544 and 1551 is 2394744.

LCM(1544,1551) = 2394744

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Least Common Multiple of 1544 and 1551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1544 and 1551, than apply into the LCM equation.

GCF(1544,1551) = 1
LCM(1544,1551) = ( 1544 × 1551) / 1
LCM(1544,1551) = 2394744 / 1
LCM(1544,1551) = 2394744

Least Common Multiple (LCM) of 1544 and 1551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1544 and 1551. First we will calculate the prime factors of 1544 and 1551.

Prime Factorization of 1544

Prime factors of 1544 are 2, 193. Prime factorization of 1544 in exponential form is:

1544 = 23 × 1931

Prime Factorization of 1551

Prime factors of 1551 are 3, 11, 47. Prime factorization of 1551 in exponential form is:

1551 = 31 × 111 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 1544 and 1551.

LCM(1544,1551) = 23 × 1931 × 31 × 111 × 471
LCM(1544,1551) = 2394744