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What is the Least Common Multiple of 39045 and 39064?

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 39045 and 39064 is 80276520.

LCM(39045,39064) = 80276520

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Least Common Multiple of 39045 and 39064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39045 and 39064, than apply into the LCM equation.

GCF(39045,39064) = 19
LCM(39045,39064) = ( 39045 × 39064) / 19
LCM(39045,39064) = 1525253880 / 19
LCM(39045,39064) = 80276520

Least Common Multiple (LCM) of 39045 and 39064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39045 and 39064. First we will calculate the prime factors of 39045 and 39064.

Prime Factorization of 39045

Prime factors of 39045 are 3, 5, 19, 137. Prime factorization of 39045 in exponential form is:

39045 = 31 × 51 × 191 × 1371

Prime Factorization of 39064

Prime factors of 39064 are 2, 19, 257. Prime factorization of 39064 in exponential form is:

39064 = 23 × 191 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 39045 and 39064.

LCM(39045,39064) = 31 × 51 × 191 × 1371 × 23 × 2571
LCM(39045,39064) = 80276520