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What is the Least Common Multiple of 69110 and 69119?

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 69110 and 69119 is 4776814090.

LCM(69110,69119) = 4776814090

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Least Common Multiple of 69110 and 69119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69110 and 69119, than apply into the LCM equation.

GCF(69110,69119) = 1
LCM(69110,69119) = ( 69110 × 69119) / 1
LCM(69110,69119) = 4776814090 / 1
LCM(69110,69119) = 4776814090

Least Common Multiple (LCM) of 69110 and 69119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69110 and 69119. First we will calculate the prime factors of 69110 and 69119.

Prime Factorization of 69110

Prime factors of 69110 are 2, 5, 6911. Prime factorization of 69110 in exponential form is:

69110 = 21 × 51 × 69111

Prime Factorization of 69119

Prime factors of 69119 are 69119. Prime factorization of 69119 in exponential form is:

69119 = 691191

Now multiplying the highest exponent prime factors to calculate the LCM of 69110 and 69119.

LCM(69110,69119) = 21 × 51 × 69111 × 691191
LCM(69110,69119) = 4776814090