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What is the Least Common Multiple of 37411 and 37421?

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 37411 and 37421 is 1399957031.

LCM(37411,37421) = 1399957031

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Least Common Multiple of 37411 and 37421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37411 and 37421, than apply into the LCM equation.

GCF(37411,37421) = 1
LCM(37411,37421) = ( 37411 × 37421) / 1
LCM(37411,37421) = 1399957031 / 1
LCM(37411,37421) = 1399957031

Least Common Multiple (LCM) of 37411 and 37421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37411 and 37421. First we will calculate the prime factors of 37411 and 37421.

Prime Factorization of 37411

Prime factors of 37411 are 11, 19, 179. Prime factorization of 37411 in exponential form is:

37411 = 111 × 191 × 1791

Prime Factorization of 37421

Prime factors of 37421 are 23, 1627. Prime factorization of 37421 in exponential form is:

37421 = 231 × 16271

Now multiplying the highest exponent prime factors to calculate the LCM of 37411 and 37421.

LCM(37411,37421) = 111 × 191 × 1791 × 231 × 16271
LCM(37411,37421) = 1399957031