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What is the Least Common Multiple of 1550 and 1558?

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 1558 is 1207450.

LCM(1550,1558) = 1207450

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Least Common Multiple of 1550 and 1558 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 1558, than apply into the LCM equation.

GCF(1550,1558) = 2
LCM(1550,1558) = ( 1550 × 1558) / 2
LCM(1550,1558) = 2414900 / 2
LCM(1550,1558) = 1207450

Least Common Multiple (LCM) of 1550 and 1558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1550 and 1558. First we will calculate the prime factors of 1550 and 1558.

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 1558

Prime factors of 1558 are 2, 19, 41. Prime factorization of 1558 in exponential form is:

1558 = 21 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 1550 and 1558.

LCM(1550,1558) = 21 × 52 × 311 × 191 × 411
LCM(1550,1558) = 1207450