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What is the Least Common Multiple of 93532 and 93550?

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 93532 and 93550 is 4374959300.

LCM(93532,93550) = 4374959300

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Least Common Multiple of 93532 and 93550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93532 and 93550, than apply into the LCM equation.

GCF(93532,93550) = 2
LCM(93532,93550) = ( 93532 × 93550) / 2
LCM(93532,93550) = 8749918600 / 2
LCM(93532,93550) = 4374959300

Least Common Multiple (LCM) of 93532 and 93550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93532 and 93550. First we will calculate the prime factors of 93532 and 93550.

Prime Factorization of 93532

Prime factors of 93532 are 2, 67, 349. Prime factorization of 93532 in exponential form is:

93532 = 22 × 671 × 3491

Prime Factorization of 93550

Prime factors of 93550 are 2, 5, 1871. Prime factorization of 93550 in exponential form is:

93550 = 21 × 52 × 18711

Now multiplying the highest exponent prime factors to calculate the LCM of 93532 and 93550.

LCM(93532,93550) = 22 × 671 × 3491 × 52 × 18711
LCM(93532,93550) = 4374959300