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What is the Least Common Multiple of 93200 and 93216?

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 93200 and 93216 is 542983200.

LCM(93200,93216) = 542983200

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Least Common Multiple of 93200 and 93216 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93200 and 93216, than apply into the LCM equation.

GCF(93200,93216) = 16
LCM(93200,93216) = ( 93200 × 93216) / 16
LCM(93200,93216) = 8687731200 / 16
LCM(93200,93216) = 542983200

Least Common Multiple (LCM) of 93200 and 93216 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93200 and 93216. First we will calculate the prime factors of 93200 and 93216.

Prime Factorization of 93200

Prime factors of 93200 are 2, 5, 233. Prime factorization of 93200 in exponential form is:

93200 = 24 × 52 × 2331

Prime Factorization of 93216

Prime factors of 93216 are 2, 3, 971. Prime factorization of 93216 in exponential form is:

93216 = 25 × 31 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 93200 and 93216.

LCM(93200,93216) = 25 × 52 × 2331 × 31 × 9711
LCM(93200,93216) = 542983200