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What is the Least Common Multiple of 1544 and 1550?

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 1550 is 1196600.

LCM(1544,1550) = 1196600

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Least Common Multiple of 1544 and 1550 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 1550, than apply into the LCM equation.

GCF(1544,1550) = 2
LCM(1544,1550) = ( 1544 × 1550) / 2
LCM(1544,1550) = 2393200 / 2
LCM(1544,1550) = 1196600

Least Common Multiple (LCM) of 1544 and 1550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1544 and 1550. First we will calculate the prime factors of 1544 and 1550.

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 1550

Prime factors of 1550 are 2, 5, 31. Prime factorization of 1550 in exponential form is:

1550 = 21 × 52 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 1544 and 1550.

LCM(1544,1550) = 23 × 1931 × 52 × 311
LCM(1544,1550) = 1196600