What is the Least Common Multiple of 94046 and 94060?
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 94046 and 94060 is 4422983380.
LCM(94046,94060) = 4422983380
Least Common Multiple of 94046 and 94060 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94046 and 94060, than apply into the LCM equation.
GCF(94046,94060) = 2
LCM(94046,94060) = ( 94046 × 94060) / 2
LCM(94046,94060) = 8845966760 / 2
LCM(94046,94060) = 4422983380
Least Common Multiple (LCM) of 94046 and 94060 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94046 and 94060. First we will calculate the prime factors of 94046 and 94060.
Prime Factorization of 94046
Prime factors of 94046 are 2, 59, 797. Prime factorization of 94046 in exponential form is:
94046 = 21 × 591 × 7971
Prime Factorization of 94060
Prime factors of 94060 are 2, 5, 4703. Prime factorization of 94060 in exponential form is:
94060 = 22 × 51 × 47031
Now multiplying the highest exponent prime factors to calculate the LCM of 94046 and 94060.
LCM(94046,94060) = 22 × 591 × 7971 × 51 × 47031
LCM(94046,94060) = 4422983380
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