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What is the Least Common Multiple of 69122 and 69141?

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 69122 and 69141 is 251534958.

LCM(69122,69141) = 251534958

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Least Common Multiple of 69122 and 69141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69122 and 69141, than apply into the LCM equation.

GCF(69122,69141) = 19
LCM(69122,69141) = ( 69122 × 69141) / 19
LCM(69122,69141) = 4779164202 / 19
LCM(69122,69141) = 251534958

Least Common Multiple (LCM) of 69122 and 69141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69122 and 69141. First we will calculate the prime factors of 69122 and 69141.

Prime Factorization of 69122

Prime factors of 69122 are 2, 17, 19, 107. Prime factorization of 69122 in exponential form is:

69122 = 21 × 171 × 191 × 1071

Prime Factorization of 69141

Prime factors of 69141 are 3, 19, 1213. Prime factorization of 69141 in exponential form is:

69141 = 31 × 191 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 69122 and 69141.

LCM(69122,69141) = 21 × 171 × 191 × 1071 × 31 × 12131
LCM(69122,69141) = 251534958