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What is the Least Common Multiple of 35161 and 35169?

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 35161 and 35169 is 1236577209.

LCM(35161,35169) = 1236577209

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Least Common Multiple of 35161 and 35169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35161 and 35169, than apply into the LCM equation.

GCF(35161,35169) = 1
LCM(35161,35169) = ( 35161 × 35169) / 1
LCM(35161,35169) = 1236577209 / 1
LCM(35161,35169) = 1236577209

Least Common Multiple (LCM) of 35161 and 35169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35161 and 35169. First we will calculate the prime factors of 35161 and 35169.

Prime Factorization of 35161

Prime factors of 35161 are 7, 5023. Prime factorization of 35161 in exponential form is:

35161 = 71 × 50231

Prime Factorization of 35169

Prime factors of 35169 are 3, 19, 617. Prime factorization of 35169 in exponential form is:

35169 = 31 × 191 × 6171

Now multiplying the highest exponent prime factors to calculate the LCM of 35161 and 35169.

LCM(35161,35169) = 71 × 50231 × 31 × 191 × 6171
LCM(35161,35169) = 1236577209