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What is the Least Common Multiple of 69092 and 69101?

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 69092 and 69101 is 4774326292.

LCM(69092,69101) = 4774326292

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Least Common Multiple of 69092 and 69101 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69092 and 69101, than apply into the LCM equation.

GCF(69092,69101) = 1
LCM(69092,69101) = ( 69092 × 69101) / 1
LCM(69092,69101) = 4774326292 / 1
LCM(69092,69101) = 4774326292

Least Common Multiple (LCM) of 69092 and 69101 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69092 and 69101. First we will calculate the prime factors of 69092 and 69101.

Prime Factorization of 69092

Prime factors of 69092 are 2, 23, 751. Prime factorization of 69092 in exponential form is:

69092 = 22 × 231 × 7511

Prime Factorization of 69101

Prime factors of 69101 are 43, 1607. Prime factorization of 69101 in exponential form is:

69101 = 431 × 16071

Now multiplying the highest exponent prime factors to calculate the LCM of 69092 and 69101.

LCM(69092,69101) = 22 × 231 × 7511 × 431 × 16071
LCM(69092,69101) = 4774326292