What is the Least Common Multiple of 23764 and 23775?
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 23764 and 23775 is 564989100.
LCM(23764,23775) = 564989100
Least Common Multiple of 23764 and 23775 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23764 and 23775, than apply into the LCM equation.
GCF(23764,23775) = 1
LCM(23764,23775) = ( 23764 × 23775) / 1
LCM(23764,23775) = 564989100 / 1
LCM(23764,23775) = 564989100
Least Common Multiple (LCM) of 23764 and 23775 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23764 and 23775. First we will calculate the prime factors of 23764 and 23775.
Prime Factorization of 23764
Prime factors of 23764 are 2, 13, 457. Prime factorization of 23764 in exponential form is:
23764 = 22 × 131 × 4571
Prime Factorization of 23775
Prime factors of 23775 are 3, 5, 317. Prime factorization of 23775 in exponential form is:
23775 = 31 × 52 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 23764 and 23775.
LCM(23764,23775) = 22 × 131 × 4571 × 31 × 52 × 3171
LCM(23764,23775) = 564989100
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