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What is the Least Common Multiple of 93232 and 93250?

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 93232 and 93250 is 4346942000.

LCM(93232,93250) = 4346942000

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Least Common Multiple of 93232 and 93250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93232 and 93250, than apply into the LCM equation.

GCF(93232,93250) = 2
LCM(93232,93250) = ( 93232 × 93250) / 2
LCM(93232,93250) = 8693884000 / 2
LCM(93232,93250) = 4346942000

Least Common Multiple (LCM) of 93232 and 93250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93232 and 93250. First we will calculate the prime factors of 93232 and 93250.

Prime Factorization of 93232

Prime factors of 93232 are 2, 5827. Prime factorization of 93232 in exponential form is:

93232 = 24 × 58271

Prime Factorization of 93250

Prime factors of 93250 are 2, 5, 373. Prime factorization of 93250 in exponential form is:

93250 = 21 × 53 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 93232 and 93250.

LCM(93232,93250) = 24 × 58271 × 53 × 3731
LCM(93232,93250) = 4346942000