What is the Least Common Multiple of 93224 and 93244?
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 93224 and 93244 is 2173144664.
LCM(93224,93244) = 2173144664
Least Common Multiple of 93224 and 93244 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93224 and 93244, than apply into the LCM equation.
GCF(93224,93244) = 4
LCM(93224,93244) = ( 93224 × 93244) / 4
LCM(93224,93244) = 8692578656 / 4
LCM(93224,93244) = 2173144664
Least Common Multiple (LCM) of 93224 and 93244 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93224 and 93244. First we will calculate the prime factors of 93224 and 93244.
Prime Factorization of 93224
Prime factors of 93224 are 2, 43, 271. Prime factorization of 93224 in exponential form is:
93224 = 23 × 431 × 2711
Prime Factorization of 93244
Prime factors of 93244 are 2, 23311. Prime factorization of 93244 in exponential form is:
93244 = 22 × 233111
Now multiplying the highest exponent prime factors to calculate the LCM of 93224 and 93244.
LCM(93224,93244) = 23 × 431 × 2711 × 233111
LCM(93224,93244) = 2173144664
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