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What is the Least Common Multiple of 37909 and 37928?

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 37909 and 37928 is 1437812552.

LCM(37909,37928) = 1437812552

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Least Common Multiple of 37909 and 37928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37909 and 37928, than apply into the LCM equation.

GCF(37909,37928) = 1
LCM(37909,37928) = ( 37909 × 37928) / 1
LCM(37909,37928) = 1437812552 / 1
LCM(37909,37928) = 1437812552

Least Common Multiple (LCM) of 37909 and 37928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37909 and 37928. First we will calculate the prime factors of 37909 and 37928.

Prime Factorization of 37909

Prime factors of 37909 are 167, 227. Prime factorization of 37909 in exponential form is:

37909 = 1671 × 2271

Prime Factorization of 37928

Prime factors of 37928 are 2, 11, 431. Prime factorization of 37928 in exponential form is:

37928 = 23 × 111 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 37909 and 37928.

LCM(37909,37928) = 1671 × 2271 × 23 × 111 × 4311
LCM(37909,37928) = 1437812552