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What is the Least Common Multiple of 1418 and 1433?

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 1418 and 1433 is 2031994.

LCM(1418,1433) = 2031994

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Least Common Multiple of 1418 and 1433 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1418 and 1433, than apply into the LCM equation.

GCF(1418,1433) = 1
LCM(1418,1433) = ( 1418 × 1433) / 1
LCM(1418,1433) = 2031994 / 1
LCM(1418,1433) = 2031994

Least Common Multiple (LCM) of 1418 and 1433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1418 and 1433. First we will calculate the prime factors of 1418 and 1433.

Prime Factorization of 1418

Prime factors of 1418 are 2, 709. Prime factorization of 1418 in exponential form is:

1418 = 21 × 7091

Prime Factorization of 1433

Prime factors of 1433 are 1433. Prime factorization of 1433 in exponential form is:

1433 = 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 1418 and 1433.

LCM(1418,1433) = 21 × 7091 × 14331
LCM(1418,1433) = 2031994