What is the Least Common Multiple of 93392 and 93396?
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 93392 and 93396 is 2180609808.
LCM(93392,93396) = 2180609808
Least Common Multiple of 93392 and 93396 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93392 and 93396, than apply into the LCM equation.
GCF(93392,93396) = 4
LCM(93392,93396) = ( 93392 × 93396) / 4
LCM(93392,93396) = 8722439232 / 4
LCM(93392,93396) = 2180609808
Least Common Multiple (LCM) of 93392 and 93396 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93392 and 93396. First we will calculate the prime factors of 93392 and 93396.
Prime Factorization of 93392
Prime factors of 93392 are 2, 13, 449. Prime factorization of 93392 in exponential form is:
93392 = 24 × 131 × 4491
Prime Factorization of 93396
Prime factors of 93396 are 2, 3, 43, 181. Prime factorization of 93396 in exponential form is:
93396 = 22 × 31 × 431 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 93392 and 93396.
LCM(93392,93396) = 24 × 131 × 4491 × 31 × 431 × 1811
LCM(93392,93396) = 2180609808
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