What is the Least Common Multiple of 12573 and 12581?
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 12573 and 12581 is 158180913.
LCM(12573,12581) = 158180913
Least Common Multiple of 12573 and 12581 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12573 and 12581, than apply into the LCM equation.
GCF(12573,12581) = 1
LCM(12573,12581) = ( 12573 × 12581) / 1
LCM(12573,12581) = 158180913 / 1
LCM(12573,12581) = 158180913
Least Common Multiple (LCM) of 12573 and 12581 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12573 and 12581. First we will calculate the prime factors of 12573 and 12581.
Prime Factorization of 12573
Prime factors of 12573 are 3, 11, 127. Prime factorization of 12573 in exponential form is:
12573 = 32 × 111 × 1271
Prime Factorization of 12581
Prime factors of 12581 are 23, 547. Prime factorization of 12581 in exponential form is:
12581 = 231 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 12573 and 12581.
LCM(12573,12581) = 32 × 111 × 1271 × 231 × 5471
LCM(12573,12581) = 158180913
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