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What is the Least Common Multiple of 69105 and 69118?

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 69105 and 69118 is 4776399390.

LCM(69105,69118) = 4776399390

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Least Common Multiple of 69105 and 69118 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69105 and 69118, than apply into the LCM equation.

GCF(69105,69118) = 1
LCM(69105,69118) = ( 69105 × 69118) / 1
LCM(69105,69118) = 4776399390 / 1
LCM(69105,69118) = 4776399390

Least Common Multiple (LCM) of 69105 and 69118 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69105 and 69118. First we will calculate the prime factors of 69105 and 69118.

Prime Factorization of 69105

Prime factors of 69105 are 3, 5, 17, 271. Prime factorization of 69105 in exponential form is:

69105 = 31 × 51 × 171 × 2711

Prime Factorization of 69118

Prime factors of 69118 are 2, 7, 4937. Prime factorization of 69118 in exponential form is:

69118 = 21 × 71 × 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 69105 and 69118.

LCM(69105,69118) = 31 × 51 × 171 × 2711 × 21 × 71 × 49371
LCM(69105,69118) = 4776399390