What is the Least Common Multiple of 94243 and 94260?
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 94243 and 94260 is 8883345180.
LCM(94243,94260) = 8883345180
Least Common Multiple of 94243 and 94260 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94243 and 94260, than apply into the LCM equation.
GCF(94243,94260) = 1
LCM(94243,94260) = ( 94243 × 94260) / 1
LCM(94243,94260) = 8883345180 / 1
LCM(94243,94260) = 8883345180
Least Common Multiple (LCM) of 94243 and 94260 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94243 and 94260. First we will calculate the prime factors of 94243 and 94260.
Prime Factorization of 94243
Prime factors of 94243 are 73, 1291. Prime factorization of 94243 in exponential form is:
94243 = 731 × 12911
Prime Factorization of 94260
Prime factors of 94260 are 2, 3, 5, 1571. Prime factorization of 94260 in exponential form is:
94260 = 22 × 31 × 51 × 15711
Now multiplying the highest exponent prime factors to calculate the LCM of 94243 and 94260.
LCM(94243,94260) = 731 × 12911 × 22 × 31 × 51 × 15711
LCM(94243,94260) = 8883345180
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