What is the Least Common Multiple of 23048 and 23061?
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 23048 and 23061 is 531509928.
LCM(23048,23061) = 531509928
Least Common Multiple of 23048 and 23061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23048 and 23061, than apply into the LCM equation.
GCF(23048,23061) = 1
LCM(23048,23061) = ( 23048 × 23061) / 1
LCM(23048,23061) = 531509928 / 1
LCM(23048,23061) = 531509928
Least Common Multiple (LCM) of 23048 and 23061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23048 and 23061. First we will calculate the prime factors of 23048 and 23061.
Prime Factorization of 23048
Prime factors of 23048 are 2, 43, 67. Prime factorization of 23048 in exponential form is:
23048 = 23 × 431 × 671
Prime Factorization of 23061
Prime factors of 23061 are 3, 7687. Prime factorization of 23061 in exponential form is:
23061 = 31 × 76871
Now multiplying the highest exponent prime factors to calculate the LCM of 23048 and 23061.
LCM(23048,23061) = 23 × 431 × 671 × 31 × 76871
LCM(23048,23061) = 531509928
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