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What is the Least Common Multiple of 93532 and 93548?

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 93548 is 2187432884.

LCM(93532,93548) = 2187432884

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Least Common Multiple of 93532 and 93548 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 93548, than apply into the LCM equation.

GCF(93532,93548) = 4
LCM(93532,93548) = ( 93532 × 93548) / 4
LCM(93532,93548) = 8749731536 / 4
LCM(93532,93548) = 2187432884

Least Common Multiple (LCM) of 93532 and 93548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93532 and 93548. First we will calculate the prime factors of 93532 and 93548.

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 93548

Prime factors of 93548 are 2, 7, 13, 257. Prime factorization of 93548 in exponential form is:

93548 = 22 × 71 × 131 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 93532 and 93548.

LCM(93532,93548) = 22 × 671 × 3491 × 71 × 131 × 2571
LCM(93532,93548) = 2187432884