What is the Least Common Multiple of 12456 and 12462?
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 12456 and 12462 is 25871112.
LCM(12456,12462) = 25871112
Least Common Multiple of 12456 and 12462 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12456 and 12462, than apply into the LCM equation.
GCF(12456,12462) = 6
LCM(12456,12462) = ( 12456 × 12462) / 6
LCM(12456,12462) = 155226672 / 6
LCM(12456,12462) = 25871112
Least Common Multiple (LCM) of 12456 and 12462 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12456 and 12462. First we will calculate the prime factors of 12456 and 12462.
Prime Factorization of 12456
Prime factors of 12456 are 2, 3, 173. Prime factorization of 12456 in exponential form is:
12456 = 23 × 32 × 1731
Prime Factorization of 12462
Prime factors of 12462 are 2, 3, 31, 67. Prime factorization of 12462 in exponential form is:
12462 = 21 × 31 × 311 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 12456 and 12462.
LCM(12456,12462) = 23 × 32 × 1731 × 311 × 671
LCM(12456,12462) = 25871112
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