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What is the Least Common Multiple of 69111 and 69115?

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 69111 and 69115 is 4776606765.

LCM(69111,69115) = 4776606765

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Least Common Multiple of 69111 and 69115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69111 and 69115, than apply into the LCM equation.

GCF(69111,69115) = 1
LCM(69111,69115) = ( 69111 × 69115) / 1
LCM(69111,69115) = 4776606765 / 1
LCM(69111,69115) = 4776606765

Least Common Multiple (LCM) of 69111 and 69115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69111 and 69115. First we will calculate the prime factors of 69111 and 69115.

Prime Factorization of 69111

Prime factors of 69111 are 3, 7, 1097. Prime factorization of 69111 in exponential form is:

69111 = 32 × 71 × 10971

Prime Factorization of 69115

Prime factors of 69115 are 5, 23, 601. Prime factorization of 69115 in exponential form is:

69115 = 51 × 231 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 69111 and 69115.

LCM(69111,69115) = 32 × 71 × 10971 × 51 × 231 × 6011
LCM(69111,69115) = 4776606765