What is the Least Common Multiple of 4678 and 4686?
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 4678 and 4686 is 10960554.
LCM(4678,4686) = 10960554
Least Common Multiple of 4678 and 4686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4678 and 4686, than apply into the LCM equation.
GCF(4678,4686) = 2
LCM(4678,4686) = ( 4678 × 4686) / 2
LCM(4678,4686) = 21921108 / 2
LCM(4678,4686) = 10960554
Least Common Multiple (LCM) of 4678 and 4686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4678 and 4686. First we will calculate the prime factors of 4678 and 4686.
Prime Factorization of 4678
Prime factors of 4678 are 2, 2339. Prime factorization of 4678 in exponential form is:
4678 = 21 × 23391
Prime Factorization of 4686
Prime factors of 4686 are 2, 3, 11, 71. Prime factorization of 4686 in exponential form is:
4686 = 21 × 31 × 111 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 4678 and 4686.
LCM(4678,4686) = 21 × 23391 × 31 × 111 × 711
LCM(4678,4686) = 10960554
Related Least Common Multiples of 4678
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Related Least Common Multiples of 4686
- LCM of 4686 and 4690
- LCM of 4686 and 4691
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