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What is the Least Common Multiple of 93500 and 93506?

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 93500 and 93506 is 4371405500.

LCM(93500,93506) = 4371405500

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Least Common Multiple of 93500 and 93506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93500 and 93506, than apply into the LCM equation.

GCF(93500,93506) = 2
LCM(93500,93506) = ( 93500 × 93506) / 2
LCM(93500,93506) = 8742811000 / 2
LCM(93500,93506) = 4371405500

Least Common Multiple (LCM) of 93500 and 93506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93500 and 93506. First we will calculate the prime factors of 93500 and 93506.

Prime Factorization of 93500

Prime factors of 93500 are 2, 5, 11, 17. Prime factorization of 93500 in exponential form is:

93500 = 22 × 53 × 111 × 171

Prime Factorization of 93506

Prime factors of 93506 are 2, 7, 6679. Prime factorization of 93506 in exponential form is:

93506 = 21 × 71 × 66791

Now multiplying the highest exponent prime factors to calculate the LCM of 93500 and 93506.

LCM(93500,93506) = 22 × 53 × 111 × 171 × 71 × 66791
LCM(93500,93506) = 4371405500