What is the Least Common Multiple of 4738 and 4745?
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 4738 and 4745 is 22481810.
LCM(4738,4745) = 22481810
Least Common Multiple of 4738 and 4745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4738 and 4745, than apply into the LCM equation.
GCF(4738,4745) = 1
LCM(4738,4745) = ( 4738 × 4745) / 1
LCM(4738,4745) = 22481810 / 1
LCM(4738,4745) = 22481810
Least Common Multiple (LCM) of 4738 and 4745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4738 and 4745. First we will calculate the prime factors of 4738 and 4745.
Prime Factorization of 4738
Prime factors of 4738 are 2, 23, 103. Prime factorization of 4738 in exponential form is:
4738 = 21 × 231 × 1031
Prime Factorization of 4745
Prime factors of 4745 are 5, 13, 73. Prime factorization of 4745 in exponential form is:
4745 = 51 × 131 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 4738 and 4745.
LCM(4738,4745) = 21 × 231 × 1031 × 51 × 131 × 731
LCM(4738,4745) = 22481810
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