What is the Least Common Multiple of 12487 and 12495?
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 12487 and 12495 is 156025065.
LCM(12487,12495) = 156025065
Least Common Multiple of 12487 and 12495 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12487 and 12495, than apply into the LCM equation.
GCF(12487,12495) = 1
LCM(12487,12495) = ( 12487 × 12495) / 1
LCM(12487,12495) = 156025065 / 1
LCM(12487,12495) = 156025065
Least Common Multiple (LCM) of 12487 and 12495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12487 and 12495. First we will calculate the prime factors of 12487 and 12495.
Prime Factorization of 12487
Prime factors of 12487 are 12487. Prime factorization of 12487 in exponential form is:
12487 = 124871
Prime Factorization of 12495
Prime factors of 12495 are 3, 5, 7, 17. Prime factorization of 12495 in exponential form is:
12495 = 31 × 51 × 72 × 171
Now multiplying the highest exponent prime factors to calculate the LCM of 12487 and 12495.
LCM(12487,12495) = 124871 × 31 × 51 × 72 × 171
LCM(12487,12495) = 156025065
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