What is the Least Common Multiple of 12484 and 12503?
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 12484 and 12503 is 156087452.
LCM(12484,12503) = 156087452
Least Common Multiple of 12484 and 12503 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12484 and 12503, than apply into the LCM equation.
GCF(12484,12503) = 1
LCM(12484,12503) = ( 12484 × 12503) / 1
LCM(12484,12503) = 156087452 / 1
LCM(12484,12503) = 156087452
Least Common Multiple (LCM) of 12484 and 12503 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12484 and 12503. First we will calculate the prime factors of 12484 and 12503.
Prime Factorization of 12484
Prime factors of 12484 are 2, 3121. Prime factorization of 12484 in exponential form is:
12484 = 22 × 31211
Prime Factorization of 12503
Prime factors of 12503 are 12503. Prime factorization of 12503 in exponential form is:
12503 = 125031
Now multiplying the highest exponent prime factors to calculate the LCM of 12484 and 12503.
LCM(12484,12503) = 22 × 31211 × 125031
LCM(12484,12503) = 156087452
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