What is the Least Common Multiple of 93241 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 93241 and 93246 is 8694350286.
LCM(93241,93246) = 8694350286
Least Common Multiple of 93241 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 93241 and 93246, than apply into the LCM equation.
GCF(93241,93246) = 1
LCM(93241,93246) = ( 93241 × 93246) / 1
LCM(93241,93246) = 8694350286 / 1
LCM(93241,93246) = 8694350286
Least Common Multiple (LCM) of 93241 and 93246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93241 and 93246. First we will calculate the prime factors of 93241 and 93246.
Prime Factorization of 93241
Prime factors of 93241 are 93241. Prime factorization of 93241 in exponential form is:
93241 = 932411
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 93241 and 93246.
LCM(93241,93246) = 932411 × 21 × 31 × 155411
LCM(93241,93246) = 8694350286
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