What is the Least Common Multiple of 4694 and 4705?
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 4694 and 4705 is 22085270.
LCM(4694,4705) = 22085270
Least Common Multiple of 4694 and 4705 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4694 and 4705, than apply into the LCM equation.
GCF(4694,4705) = 1
LCM(4694,4705) = ( 4694 × 4705) / 1
LCM(4694,4705) = 22085270 / 1
LCM(4694,4705) = 22085270
Least Common Multiple (LCM) of 4694 and 4705 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4694 and 4705. First we will calculate the prime factors of 4694 and 4705.
Prime Factorization of 4694
Prime factors of 4694 are 2, 2347. Prime factorization of 4694 in exponential form is:
4694 = 21 × 23471
Prime Factorization of 4705
Prime factors of 4705 are 5, 941. Prime factorization of 4705 in exponential form is:
4705 = 51 × 9411
Now multiplying the highest exponent prime factors to calculate the LCM of 4694 and 4705.
LCM(4694,4705) = 21 × 23471 × 51 × 9411
LCM(4694,4705) = 22085270
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