What is the Least Common Multiple of 94841 and 94860?
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 94841 and 94860 is 8996617260.
LCM(94841,94860) = 8996617260
Least Common Multiple of 94841 and 94860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94841 and 94860, than apply into the LCM equation.
GCF(94841,94860) = 1
LCM(94841,94860) = ( 94841 × 94860) / 1
LCM(94841,94860) = 8996617260 / 1
LCM(94841,94860) = 8996617260
Least Common Multiple (LCM) of 94841 and 94860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 94841 and 94860. First we will calculate the prime factors of 94841 and 94860.
Prime Factorization of 94841
Prime factors of 94841 are 94841. Prime factorization of 94841 in exponential form is:
94841 = 948411
Prime Factorization of 94860
Prime factors of 94860 are 2, 3, 5, 17, 31. Prime factorization of 94860 in exponential form is:
94860 = 22 × 32 × 51 × 171 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 94841 and 94860.
LCM(94841,94860) = 948411 × 22 × 32 × 51 × 171 × 311
LCM(94841,94860) = 8996617260
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