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What is the Least Common Multiple of 1431 and 1450?

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 1431 and 1450 is 2074950.

LCM(1431,1450) = 2074950

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Least Common Multiple of 1431 and 1450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1431 and 1450, than apply into the LCM equation.

GCF(1431,1450) = 1
LCM(1431,1450) = ( 1431 × 1450) / 1
LCM(1431,1450) = 2074950 / 1
LCM(1431,1450) = 2074950

Least Common Multiple (LCM) of 1431 and 1450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1431 and 1450. First we will calculate the prime factors of 1431 and 1450.

Prime Factorization of 1431

Prime factors of 1431 are 3, 53. Prime factorization of 1431 in exponential form is:

1431 = 33 × 531

Prime Factorization of 1450

Prime factors of 1450 are 2, 5, 29. Prime factorization of 1450 in exponential form is:

1450 = 21 × 52 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 1431 and 1450.

LCM(1431,1450) = 33 × 531 × 21 × 52 × 291
LCM(1431,1450) = 2074950