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What is the Least Common Multiple of 1550 and 1557?

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 1550 and 1557 is 2413350.

LCM(1550,1557) = 2413350

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Least Common Multiple of 1550 and 1557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1550 and 1557, than apply into the LCM equation.

GCF(1550,1557) = 1
LCM(1550,1557) = ( 1550 × 1557) / 1
LCM(1550,1557) = 2413350 / 1
LCM(1550,1557) = 2413350

Least Common Multiple (LCM) of 1550 and 1557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1550 and 1557. First we will calculate the prime factors of 1550 and 1557.

Prime Factorization of 1550

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

1550 = 21 × 52 × 311

Prime Factorization of 1557

Prime factors of 1557 are 3, 173. Prime factorization of 1557 in exponential form is:

1557 = 32 × 1731

Now multiplying the highest exponent prime factors to calculate the LCM of 1550 and 1557.

LCM(1550,1557) = 21 × 52 × 311 × 32 × 1731
LCM(1550,1557) = 2413350