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What is the Least Common Multiple of 93219 and 93228?

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 93219 and 93228 is 2896873644.

LCM(93219,93228) = 2896873644

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Least Common Multiple of 93219 and 93228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93219 and 93228, than apply into the LCM equation.

GCF(93219,93228) = 3
LCM(93219,93228) = ( 93219 × 93228) / 3
LCM(93219,93228) = 8690620932 / 3
LCM(93219,93228) = 2896873644

Least Common Multiple (LCM) of 93219 and 93228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93219 and 93228. First we will calculate the prime factors of 93219 and 93228.

Prime Factorization of 93219

Prime factors of 93219 are 3, 7, 23, 193. Prime factorization of 93219 in exponential form is:

93219 = 31 × 71 × 231 × 1931

Prime Factorization of 93228

Prime factors of 93228 are 2, 3, 17, 457. Prime factorization of 93228 in exponential form is:

93228 = 22 × 31 × 171 × 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 93219 and 93228.

LCM(93219,93228) = 31 × 71 × 231 × 1931 × 22 × 171 × 4571
LCM(93219,93228) = 2896873644