What is the Least Common Multiple of 12260 and 12271?
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 12260 and 12271 is 150442460.
LCM(12260,12271) = 150442460
Least Common Multiple of 12260 and 12271 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12260 and 12271, than apply into the LCM equation.
GCF(12260,12271) = 1
LCM(12260,12271) = ( 12260 × 12271) / 1
LCM(12260,12271) = 150442460 / 1
LCM(12260,12271) = 150442460
Least Common Multiple (LCM) of 12260 and 12271 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12260 and 12271. First we will calculate the prime factors of 12260 and 12271.
Prime Factorization of 12260
Prime factors of 12260 are 2, 5, 613. Prime factorization of 12260 in exponential form is:
12260 = 22 × 51 × 6131
Prime Factorization of 12271
Prime factors of 12271 are 7, 1753. Prime factorization of 12271 in exponential form is:
12271 = 71 × 17531
Now multiplying the highest exponent prime factors to calculate the LCM of 12260 and 12271.
LCM(12260,12271) = 22 × 51 × 6131 × 71 × 17531
LCM(12260,12271) = 150442460
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