What is the Least Common Multiple of 93236 and 93246?
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 93236 and 93246 is 4346942028.
LCM(93236,93246) = 4346942028
Least Common Multiple of 93236 and 93246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93236 and 93246, than apply into the LCM equation.
GCF(93236,93246) = 2
LCM(93236,93246) = ( 93236 × 93246) / 2
LCM(93236,93246) = 8693884056 / 2
LCM(93236,93246) = 4346942028
Least Common Multiple (LCM) of 93236 and 93246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93236 and 93246. First we will calculate the prime factors of 93236 and 93246.
Prime Factorization of 93236
Prime factors of 93236 are 2, 11, 13, 163. Prime factorization of 93236 in exponential form is:
93236 = 22 × 111 × 131 × 1631
Prime Factorization of 93246
Prime factors of 93246 are 2, 3, 15541. Prime factorization of 93246 in exponential form is:
93246 = 21 × 31 × 155411
Now multiplying the highest exponent prime factors to calculate the LCM of 93236 and 93246.
LCM(93236,93246) = 22 × 111 × 131 × 1631 × 31 × 155411
LCM(93236,93246) = 4346942028
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