What is the Least Common Multiple of 4246 and 4266?
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 4246 and 4266 is 9056718.
LCM(4246,4266) = 9056718
Least Common Multiple of 4246 and 4266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4246 and 4266, than apply into the LCM equation.
GCF(4246,4266) = 2
LCM(4246,4266) = ( 4246 × 4266) / 2
LCM(4246,4266) = 18113436 / 2
LCM(4246,4266) = 9056718
Least Common Multiple (LCM) of 4246 and 4266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4246 and 4266. First we will calculate the prime factors of 4246 and 4266.
Prime Factorization of 4246
Prime factors of 4246 are 2, 11, 193. Prime factorization of 4246 in exponential form is:
4246 = 21 × 111 × 1931
Prime Factorization of 4266
Prime factors of 4266 are 2, 3, 79. Prime factorization of 4266 in exponential form is:
4266 = 21 × 33 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 4246 and 4266.
LCM(4246,4266) = 21 × 111 × 1931 × 33 × 791
LCM(4246,4266) = 9056718
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