What is the Least Common Multiple of 4846 and 4866?
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 4846 and 4866 is 11790318.
LCM(4846,4866) = 11790318
Least Common Multiple of 4846 and 4866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4846 and 4866, than apply into the LCM equation.
GCF(4846,4866) = 2
LCM(4846,4866) = ( 4846 × 4866) / 2
LCM(4846,4866) = 23580636 / 2
LCM(4846,4866) = 11790318
Least Common Multiple (LCM) of 4846 and 4866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4846 and 4866. First we will calculate the prime factors of 4846 and 4866.
Prime Factorization of 4846
Prime factors of 4846 are 2, 2423. Prime factorization of 4846 in exponential form is:
4846 = 21 × 24231
Prime Factorization of 4866
Prime factors of 4866 are 2, 3, 811. Prime factorization of 4866 in exponential form is:
4866 = 21 × 31 × 8111
Now multiplying the highest exponent prime factors to calculate the LCM of 4846 and 4866.
LCM(4846,4866) = 21 × 24231 × 31 × 8111
LCM(4846,4866) = 11790318
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