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What is the Least Common Multiple of 88649 and 88669?

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 88649 and 88669 is 7860418181.

LCM(88649,88669) = 7860418181

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Least Common Multiple of 88649 and 88669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88649 and 88669, than apply into the LCM equation.

GCF(88649,88669) = 1
LCM(88649,88669) = ( 88649 × 88669) / 1
LCM(88649,88669) = 7860418181 / 1
LCM(88649,88669) = 7860418181

Least Common Multiple (LCM) of 88649 and 88669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88649 and 88669. First we will calculate the prime factors of 88649 and 88669.

Prime Factorization of 88649

Prime factors of 88649 are 11, 8059. Prime factorization of 88649 in exponential form is:

88649 = 111 × 80591

Prime Factorization of 88669

Prime factors of 88669 are 7, 53, 239. Prime factorization of 88669 in exponential form is:

88669 = 71 × 531 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 88649 and 88669.

LCM(88649,88669) = 111 × 80591 × 71 × 531 × 2391
LCM(88649,88669) = 7860418181