What is the Least Common Multiple of 4729 and 4749?
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 4729 and 4749 is 22458021.
LCM(4729,4749) = 22458021
Least Common Multiple of 4729 and 4749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4729 and 4749, than apply into the LCM equation.
GCF(4729,4749) = 1
LCM(4729,4749) = ( 4729 × 4749) / 1
LCM(4729,4749) = 22458021 / 1
LCM(4729,4749) = 22458021
Least Common Multiple (LCM) of 4729 and 4749 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4729 and 4749. First we will calculate the prime factors of 4729 and 4749.
Prime Factorization of 4729
Prime factors of 4729 are 4729. Prime factorization of 4729 in exponential form is:
4729 = 47291
Prime Factorization of 4749
Prime factors of 4749 are 3, 1583. Prime factorization of 4749 in exponential form is:
4749 = 31 × 15831
Now multiplying the highest exponent prime factors to calculate the LCM of 4729 and 4749.
LCM(4729,4749) = 47291 × 31 × 15831
LCM(4729,4749) = 22458021
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