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What is the Least Common Multiple of 92603 and 92617?

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 92603 and 92617 is 1225230293.

LCM(92603,92617) = 1225230293

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Least Common Multiple of 92603 and 92617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92603 and 92617, than apply into the LCM equation.

GCF(92603,92617) = 7
LCM(92603,92617) = ( 92603 × 92617) / 7
LCM(92603,92617) = 8576612051 / 7
LCM(92603,92617) = 1225230293

Least Common Multiple (LCM) of 92603 and 92617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92603 and 92617. First we will calculate the prime factors of 92603 and 92617.

Prime Factorization of 92603

Prime factors of 92603 are 7, 13229. Prime factorization of 92603 in exponential form is:

92603 = 71 × 132291

Prime Factorization of 92617

Prime factors of 92617 are 7, 101, 131. Prime factorization of 92617 in exponential form is:

92617 = 71 × 1011 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 92603 and 92617.

LCM(92603,92617) = 71 × 132291 × 1011 × 1311
LCM(92603,92617) = 1225230293