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What is the Least Common Multiple of 77155 and 77169?

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 77155 and 77169 is 5953974195.

LCM(77155,77169) = 5953974195

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Least Common Multiple of 77155 and 77169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77155 and 77169, than apply into the LCM equation.

GCF(77155,77169) = 1
LCM(77155,77169) = ( 77155 × 77169) / 1
LCM(77155,77169) = 5953974195 / 1
LCM(77155,77169) = 5953974195

Least Common Multiple (LCM) of 77155 and 77169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77155 and 77169. First we will calculate the prime factors of 77155 and 77169.

Prime Factorization of 77155

Prime factors of 77155 are 5, 13, 1187. Prime factorization of 77155 in exponential form is:

77155 = 51 × 131 × 11871

Prime Factorization of 77169

Prime factors of 77169 are 3, 29, 887. Prime factorization of 77169 in exponential form is:

77169 = 31 × 291 × 8871

Now multiplying the highest exponent prime factors to calculate the LCM of 77155 and 77169.

LCM(77155,77169) = 51 × 131 × 11871 × 31 × 291 × 8871
LCM(77155,77169) = 5953974195