What is the Least Common Multiple of 94035 and 94041?
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 94035 and 94041 is 2947715145.
LCM(94035,94041) = 2947715145
Least Common Multiple of 94035 and 94041 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94035 and 94041, than apply into the LCM equation.
GCF(94035,94041) = 3
LCM(94035,94041) = ( 94035 × 94041) / 3
LCM(94035,94041) = 8843145435 / 3
LCM(94035,94041) = 2947715145
Least Common Multiple (LCM) of 94035 and 94041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94035 and 94041. First we will calculate the prime factors of 94035 and 94041.
Prime Factorization of 94035
Prime factors of 94035 are 3, 5, 6269. Prime factorization of 94035 in exponential form is:
94035 = 31 × 51 × 62691
Prime Factorization of 94041
Prime factors of 94041 are 3, 43. Prime factorization of 94041 in exponential form is:
94041 = 37 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 94035 and 94041.
LCM(94035,94041) = 37 × 51 × 62691 × 431
LCM(94035,94041) = 2947715145
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