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What is the Least Common Multiple of 39379 and 39385?

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 39379 and 39385 is 1550941915.

LCM(39379,39385) = 1550941915

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Least Common Multiple of 39379 and 39385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39379 and 39385, than apply into the LCM equation.

GCF(39379,39385) = 1
LCM(39379,39385) = ( 39379 × 39385) / 1
LCM(39379,39385) = 1550941915 / 1
LCM(39379,39385) = 1550941915

Least Common Multiple (LCM) of 39379 and 39385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39379 and 39385. First we will calculate the prime factors of 39379 and 39385.

Prime Factorization of 39379

Prime factors of 39379 are 53, 743. Prime factorization of 39379 in exponential form is:

39379 = 531 × 7431

Prime Factorization of 39385

Prime factors of 39385 are 5, 7877. Prime factorization of 39385 in exponential form is:

39385 = 51 × 78771

Now multiplying the highest exponent prime factors to calculate the LCM of 39379 and 39385.

LCM(39379,39385) = 531 × 7431 × 51 × 78771
LCM(39379,39385) = 1550941915