What is the Least Common Multiple of 23561 and 23567?
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 23561 and 23567 is 555262087.
LCM(23561,23567) = 555262087
Least Common Multiple of 23561 and 23567 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23561 and 23567, than apply into the LCM equation.
GCF(23561,23567) = 1
LCM(23561,23567) = ( 23561 × 23567) / 1
LCM(23561,23567) = 555262087 / 1
LCM(23561,23567) = 555262087
Least Common Multiple (LCM) of 23561 and 23567 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23561 and 23567. First we will calculate the prime factors of 23561 and 23567.
Prime Factorization of 23561
Prime factors of 23561 are 23561. Prime factorization of 23561 in exponential form is:
23561 = 235611
Prime Factorization of 23567
Prime factors of 23567 are 23567. Prime factorization of 23567 in exponential form is:
23567 = 235671
Now multiplying the highest exponent prime factors to calculate the LCM of 23561 and 23567.
LCM(23561,23567) = 235611 × 235671
LCM(23561,23567) = 555262087
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