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What is the Least Common Multiple of 1417 and 1429?

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 1417 and 1429 is 2024893.

LCM(1417,1429) = 2024893

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Least Common Multiple of 1417 and 1429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1417 and 1429, than apply into the LCM equation.

GCF(1417,1429) = 1
LCM(1417,1429) = ( 1417 × 1429) / 1
LCM(1417,1429) = 2024893 / 1
LCM(1417,1429) = 2024893

Least Common Multiple (LCM) of 1417 and 1429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1417 and 1429. First we will calculate the prime factors of 1417 and 1429.

Prime Factorization of 1417

Prime factors of 1417 are 13, 109. Prime factorization of 1417 in exponential form is:

1417 = 131 × 1091

Prime Factorization of 1429

Prime factors of 1429 are 1429. Prime factorization of 1429 in exponential form is:

1429 = 14291

Now multiplying the highest exponent prime factors to calculate the LCM of 1417 and 1429.

LCM(1417,1429) = 131 × 1091 × 14291
LCM(1417,1429) = 2024893