What is the Least Common Multiple of 12273 and 12280?
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 12273 and 12280 is 150712440.
LCM(12273,12280) = 150712440
Least Common Multiple of 12273 and 12280 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12273 and 12280, than apply into the LCM equation.
GCF(12273,12280) = 1
LCM(12273,12280) = ( 12273 × 12280) / 1
LCM(12273,12280) = 150712440 / 1
LCM(12273,12280) = 150712440
Least Common Multiple (LCM) of 12273 and 12280 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12273 and 12280. First we will calculate the prime factors of 12273 and 12280.
Prime Factorization of 12273
Prime factors of 12273 are 3, 4091. Prime factorization of 12273 in exponential form is:
12273 = 31 × 40911
Prime Factorization of 12280
Prime factors of 12280 are 2, 5, 307. Prime factorization of 12280 in exponential form is:
12280 = 23 × 51 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 12273 and 12280.
LCM(12273,12280) = 31 × 40911 × 23 × 51 × 3071
LCM(12273,12280) = 150712440
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