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What is the Least Common Multiple of 80111 and 80128?

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 80111 and 80128 is 6419134208.

LCM(80111,80128) = 6419134208

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Least Common Multiple of 80111 and 80128 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80111 and 80128, than apply into the LCM equation.

GCF(80111,80128) = 1
LCM(80111,80128) = ( 80111 × 80128) / 1
LCM(80111,80128) = 6419134208 / 1
LCM(80111,80128) = 6419134208

Least Common Multiple (LCM) of 80111 and 80128 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80111 and 80128. First we will calculate the prime factors of 80111 and 80128.

Prime Factorization of 80111

Prime factors of 80111 are 80111. Prime factorization of 80111 in exponential form is:

80111 = 801111

Prime Factorization of 80128

Prime factors of 80128 are 2, 313. Prime factorization of 80128 in exponential form is:

80128 = 28 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 80111 and 80128.

LCM(80111,80128) = 801111 × 28 × 3131
LCM(80111,80128) = 6419134208