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What is the Least Common Multiple of 92697 and 92703?

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 92697 and 92703 is 2864429997.

LCM(92697,92703) = 2864429997

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Least Common Multiple of 92697 and 92703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92697 and 92703, than apply into the LCM equation.

GCF(92697,92703) = 3
LCM(92697,92703) = ( 92697 × 92703) / 3
LCM(92697,92703) = 8593289991 / 3
LCM(92697,92703) = 2864429997

Least Common Multiple (LCM) of 92697 and 92703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92697 and 92703. First we will calculate the prime factors of 92697 and 92703.

Prime Factorization of 92697

Prime factors of 92697 are 3, 11, 53. Prime factorization of 92697 in exponential form is:

92697 = 31 × 111 × 532

Prime Factorization of 92703

Prime factors of 92703 are 3, 13, 2377. Prime factorization of 92703 in exponential form is:

92703 = 31 × 131 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 92697 and 92703.

LCM(92697,92703) = 31 × 111 × 532 × 131 × 23771
LCM(92697,92703) = 2864429997