What is the Least Common Multiple of 93214 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 93214 and 93228 is 4345077396.
LCM(93214,93228) = 4345077396
Least Common Multiple of 93214 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 93214 and 93228, than apply into the LCM equation.
GCF(93214,93228) = 2
LCM(93214,93228) = ( 93214 × 93228) / 2
LCM(93214,93228) = 8690154792 / 2
LCM(93214,93228) = 4345077396
Least Common Multiple (LCM) of 93214 and 93228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93214 and 93228. First we will calculate the prime factors of 93214 and 93228.
Prime Factorization of 93214
Prime factors of 93214 are 2, 11, 19, 223. Prime factorization of 93214 in exponential form is:
93214 = 21 × 111 × 191 × 2231
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 93214 and 93228.
LCM(93214,93228) = 22 × 111 × 191 × 2231 × 31 × 171 × 4571
LCM(93214,93228) = 4345077396
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