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What is the Least Common Multiple of 93560 and 93565?

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 93560 and 93565 is 1750788280.

LCM(93560,93565) = 1750788280

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Least Common Multiple of 93560 and 93565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93560 and 93565, than apply into the LCM equation.

GCF(93560,93565) = 5
LCM(93560,93565) = ( 93560 × 93565) / 5
LCM(93560,93565) = 8753941400 / 5
LCM(93560,93565) = 1750788280

Least Common Multiple (LCM) of 93560 and 93565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93560 and 93565. First we will calculate the prime factors of 93560 and 93565.

Prime Factorization of 93560

Prime factors of 93560 are 2, 5, 2339. Prime factorization of 93560 in exponential form is:

93560 = 23 × 51 × 23391

Prime Factorization of 93565

Prime factors of 93565 are 5, 18713. Prime factorization of 93565 in exponential form is:

93565 = 51 × 187131

Now multiplying the highest exponent prime factors to calculate the LCM of 93560 and 93565.

LCM(93560,93565) = 23 × 51 × 23391 × 187131
LCM(93560,93565) = 1750788280