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What is the Least Common Multiple of 66149 and 66169?

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 66149 and 66169 is 4377013181.

LCM(66149,66169) = 4377013181

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Least Common Multiple of 66149 and 66169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66149 and 66169, than apply into the LCM equation.

GCF(66149,66169) = 1
LCM(66149,66169) = ( 66149 × 66169) / 1
LCM(66149,66169) = 4377013181 / 1
LCM(66149,66169) = 4377013181

Least Common Multiple (LCM) of 66149 and 66169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66149 and 66169. First we will calculate the prime factors of 66149 and 66169.

Prime Factorization of 66149

Prime factors of 66149 are 29, 2281. Prime factorization of 66149 in exponential form is:

66149 = 291 × 22811

Prime Factorization of 66169

Prime factors of 66169 are 66169. Prime factorization of 66169 in exponential form is:

66169 = 661691

Now multiplying the highest exponent prime factors to calculate the LCM of 66149 and 66169.

LCM(66149,66169) = 291 × 22811 × 661691
LCM(66149,66169) = 4377013181