What is the Least Common Multiple of 94034 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 94034 and 94041 is 8843051394.
LCM(94034,94041) = 8843051394
Least Common Multiple of 94034 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 94034 and 94041, than apply into the LCM equation.
GCF(94034,94041) = 1
LCM(94034,94041) = ( 94034 × 94041) / 1
LCM(94034,94041) = 8843051394 / 1
LCM(94034,94041) = 8843051394
Least Common Multiple (LCM) of 94034 and 94041 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94034 and 94041. First we will calculate the prime factors of 94034 and 94041.
Prime Factorization of 94034
Prime factors of 94034 are 2, 47017. Prime factorization of 94034 in exponential form is:
94034 = 21 × 470171
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 94034 and 94041.
LCM(94034,94041) = 21 × 470171 × 37 × 431
LCM(94034,94041) = 8843051394
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