What is the Least Common Multiple of 94846 and 94853?
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 94846 and 94853 is 8996427638.
LCM(94846,94853) = 8996427638
Least Common Multiple of 94846 and 94853 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94846 and 94853, than apply into the LCM equation.
GCF(94846,94853) = 1
LCM(94846,94853) = ( 94846 × 94853) / 1
LCM(94846,94853) = 8996427638 / 1
LCM(94846,94853) = 8996427638
Least Common Multiple (LCM) of 94846 and 94853 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94846 and 94853. First we will calculate the prime factors of 94846 and 94853.
Prime Factorization of 94846
Prime factors of 94846 are 2, 47, 1009. Prime factorization of 94846 in exponential form is:
94846 = 21 × 471 × 10091
Prime Factorization of 94853
Prime factors of 94853 are 11, 8623. Prime factorization of 94853 in exponential form is:
94853 = 111 × 86231
Now multiplying the highest exponent prime factors to calculate the LCM of 94846 and 94853.
LCM(94846,94853) = 21 × 471 × 10091 × 111 × 86231
LCM(94846,94853) = 8996427638
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