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What is the Least Common Multiple of 1435 and 1442?

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 1435 and 1442 is 295610.

LCM(1435,1442) = 295610

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Least Common Multiple of 1435 and 1442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1435 and 1442, than apply into the LCM equation.

GCF(1435,1442) = 7
LCM(1435,1442) = ( 1435 × 1442) / 7
LCM(1435,1442) = 2069270 / 7
LCM(1435,1442) = 295610

Least Common Multiple (LCM) of 1435 and 1442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1435 and 1442. First we will calculate the prime factors of 1435 and 1442.

Prime Factorization of 1435

Prime factors of 1435 are 5, 7, 41. Prime factorization of 1435 in exponential form is:

1435 = 51 × 71 × 411

Prime Factorization of 1442

Prime factors of 1442 are 2, 7, 103. Prime factorization of 1442 in exponential form is:

1442 = 21 × 71 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 1435 and 1442.

LCM(1435,1442) = 51 × 71 × 411 × 21 × 1031
LCM(1435,1442) = 295610