What is the Least Common Multiple of 94043 and 94058?
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 94043 and 94058 is 8845496494.
LCM(94043,94058) = 8845496494
Least Common Multiple of 94043 and 94058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94043 and 94058, than apply into the LCM equation.
GCF(94043,94058) = 1
LCM(94043,94058) = ( 94043 × 94058) / 1
LCM(94043,94058) = 8845496494 / 1
LCM(94043,94058) = 8845496494
Least Common Multiple (LCM) of 94043 and 94058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94043 and 94058. First we will calculate the prime factors of 94043 and 94058.
Prime Factorization of 94043
Prime factors of 94043 are 157, 599. Prime factorization of 94043 in exponential form is:
94043 = 1571 × 5991
Prime Factorization of 94058
Prime factors of 94058 are 2, 131, 359. Prime factorization of 94058 in exponential form is:
94058 = 21 × 1311 × 3591
Now multiplying the highest exponent prime factors to calculate the LCM of 94043 and 94058.
LCM(94043,94058) = 1571 × 5991 × 21 × 1311 × 3591
LCM(94043,94058) = 8845496494
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