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What is the Least Common Multiple of 1350 and 1354?

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 1350 and 1354 is 913950.

LCM(1350,1354) = 913950

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Least Common Multiple of 1350 and 1354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1350 and 1354, than apply into the LCM equation.

GCF(1350,1354) = 2
LCM(1350,1354) = ( 1350 × 1354) / 2
LCM(1350,1354) = 1827900 / 2
LCM(1350,1354) = 913950

Least Common Multiple (LCM) of 1350 and 1354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1350 and 1354. First we will calculate the prime factors of 1350 and 1354.

Prime Factorization of 1350

Prime factors of 1350 are 2, 3, 5. Prime factorization of 1350 in exponential form is:

1350 = 21 × 33 × 52

Prime Factorization of 1354

Prime factors of 1354 are 2, 677. Prime factorization of 1354 in exponential form is:

1354 = 21 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 1350 and 1354.

LCM(1350,1354) = 21 × 33 × 52 × 6771
LCM(1350,1354) = 913950