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What is the Least Common Multiple of 1451 and 1469?

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 1451 and 1469 is 2131519.

LCM(1451,1469) = 2131519

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Least Common Multiple of 1451 and 1469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1451 and 1469, than apply into the LCM equation.

GCF(1451,1469) = 1
LCM(1451,1469) = ( 1451 × 1469) / 1
LCM(1451,1469) = 2131519 / 1
LCM(1451,1469) = 2131519

Least Common Multiple (LCM) of 1451 and 1469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1451 and 1469. First we will calculate the prime factors of 1451 and 1469.

Prime Factorization of 1451

Prime factors of 1451 are 1451. Prime factorization of 1451 in exponential form is:

1451 = 14511

Prime Factorization of 1469

Prime factors of 1469 are 13, 113. Prime factorization of 1469 in exponential form is:

1469 = 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 1451 and 1469.

LCM(1451,1469) = 14511 × 131 × 1131
LCM(1451,1469) = 2131519