What is the Least Common Multiple of 12482 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 12482 and 12495 is 155962590.
LCM(12482,12495) = 155962590
Least Common Multiple of 12482 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 12482 and 12495, than apply into the LCM equation.
GCF(12482,12495) = 1
LCM(12482,12495) = ( 12482 × 12495) / 1
LCM(12482,12495) = 155962590 / 1
LCM(12482,12495) = 155962590
Least Common Multiple (LCM) of 12482 and 12495 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12482 and 12495. First we will calculate the prime factors of 12482 and 12495.
Prime Factorization of 12482
Prime factors of 12482 are 2, 79. Prime factorization of 12482 in exponential form is:
12482 = 21 × 792
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 12482 and 12495.
LCM(12482,12495) = 21 × 792 × 31 × 51 × 72 × 171
LCM(12482,12495) = 155962590
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