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What is the Least Common Multiple of 67097 and 67111?

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 67097 and 67111 is 4502946767.

LCM(67097,67111) = 4502946767

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Least Common Multiple of 67097 and 67111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67097 and 67111, than apply into the LCM equation.

GCF(67097,67111) = 1
LCM(67097,67111) = ( 67097 × 67111) / 1
LCM(67097,67111) = 4502946767 / 1
LCM(67097,67111) = 4502946767

Least Common Multiple (LCM) of 67097 and 67111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67097 and 67111. First we will calculate the prime factors of 67097 and 67111.

Prime Factorization of 67097

Prime factors of 67097 are 229, 293. Prime factorization of 67097 in exponential form is:

67097 = 2291 × 2931

Prime Factorization of 67111

Prime factors of 67111 are 11, 6101. Prime factorization of 67111 in exponential form is:

67111 = 111 × 61011

Now multiplying the highest exponent prime factors to calculate the LCM of 67097 and 67111.

LCM(67097,67111) = 2291 × 2931 × 111 × 61011
LCM(67097,67111) = 4502946767