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What is the Least Common Multiple of 77109 and 77117?

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 77109 and 77117 is 5946414753.

LCM(77109,77117) = 5946414753

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Least Common Multiple of 77109 and 77117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77109 and 77117, than apply into the LCM equation.

GCF(77109,77117) = 1
LCM(77109,77117) = ( 77109 × 77117) / 1
LCM(77109,77117) = 5946414753 / 1
LCM(77109,77117) = 5946414753

Least Common Multiple (LCM) of 77109 and 77117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77109 and 77117. First we will calculate the prime factors of 77109 and 77117.

Prime Factorization of 77109

Prime factors of 77109 are 3, 25703. Prime factorization of 77109 in exponential form is:

77109 = 31 × 257031

Prime Factorization of 77117

Prime factors of 77117 are 67, 1151. Prime factorization of 77117 in exponential form is:

77117 = 671 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 77109 and 77117.

LCM(77109,77117) = 31 × 257031 × 671 × 11511
LCM(77109,77117) = 5946414753