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What is the Least Common Multiple of 93111 and 93121?

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 93111 and 93121 is 8670589431.

LCM(93111,93121) = 8670589431

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Least Common Multiple of 93111 and 93121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93111 and 93121, than apply into the LCM equation.

GCF(93111,93121) = 1
LCM(93111,93121) = ( 93111 × 93121) / 1
LCM(93111,93121) = 8670589431 / 1
LCM(93111,93121) = 8670589431

Least Common Multiple (LCM) of 93111 and 93121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93111 and 93121. First we will calculate the prime factors of 93111 and 93121.

Prime Factorization of 93111

Prime factors of 93111 are 3, 41, 757. Prime factorization of 93111 in exponential form is:

93111 = 31 × 411 × 7571

Prime Factorization of 93121

Prime factors of 93121 are 7, 53, 251. Prime factorization of 93121 in exponential form is:

93121 = 71 × 531 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 93111 and 93121.

LCM(93111,93121) = 31 × 411 × 7571 × 71 × 531 × 2511
LCM(93111,93121) = 8670589431