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What is the Least Common Multiple of 7699 and 7705?

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 7699 and 7705 is 59320795.

LCM(7699,7705) = 59320795

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Least Common Multiple of 7699 and 7705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7699 and 7705, than apply into the LCM equation.

GCF(7699,7705) = 1
LCM(7699,7705) = ( 7699 × 7705) / 1
LCM(7699,7705) = 59320795 / 1
LCM(7699,7705) = 59320795

Least Common Multiple (LCM) of 7699 and 7705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7699 and 7705. First we will calculate the prime factors of 7699 and 7705.

Prime Factorization of 7699

Prime factors of 7699 are 7699. Prime factorization of 7699 in exponential form is:

7699 = 76991

Prime Factorization of 7705

Prime factors of 7705 are 5, 23, 67. Prime factorization of 7705 in exponential form is:

7705 = 51 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 7699 and 7705.

LCM(7699,7705) = 76991 × 51 × 231 × 671
LCM(7699,7705) = 59320795