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What is the Least Common Multiple of 93545 and 93561?

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 93545 and 93561 is 8752163745.

LCM(93545,93561) = 8752163745

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Least Common Multiple of 93545 and 93561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93545 and 93561, than apply into the LCM equation.

GCF(93545,93561) = 1
LCM(93545,93561) = ( 93545 × 93561) / 1
LCM(93545,93561) = 8752163745 / 1
LCM(93545,93561) = 8752163745

Least Common Multiple (LCM) of 93545 and 93561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93545 and 93561. First we will calculate the prime factors of 93545 and 93561.

Prime Factorization of 93545

Prime factors of 93545 are 5, 53, 353. Prime factorization of 93545 in exponential form is:

93545 = 51 × 531 × 3531

Prime Factorization of 93561

Prime factors of 93561 are 3, 13, 2399. Prime factorization of 93561 in exponential form is:

93561 = 31 × 131 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 93545 and 93561.

LCM(93545,93561) = 51 × 531 × 3531 × 31 × 131 × 23991
LCM(93545,93561) = 8752163745