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What is the Least Common Multiple of 39665 and 39685?

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 39665 and 39685 is 314821105.

LCM(39665,39685) = 314821105

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Least Common Multiple of 39665 and 39685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39665 and 39685, than apply into the LCM equation.

GCF(39665,39685) = 5
LCM(39665,39685) = ( 39665 × 39685) / 5
LCM(39665,39685) = 1574105525 / 5
LCM(39665,39685) = 314821105

Least Common Multiple (LCM) of 39665 and 39685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39665 and 39685. First we will calculate the prime factors of 39665 and 39685.

Prime Factorization of 39665

Prime factors of 39665 are 5, 7933. Prime factorization of 39665 in exponential form is:

39665 = 51 × 79331

Prime Factorization of 39685

Prime factors of 39685 are 5, 7937. Prime factorization of 39685 in exponential form is:

39685 = 51 × 79371

Now multiplying the highest exponent prime factors to calculate the LCM of 39665 and 39685.

LCM(39665,39685) = 51 × 79331 × 79371
LCM(39665,39685) = 314821105