What is the Least Common Multiple of 12215 and 12228?
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 12215 and 12228 is 149365020.
LCM(12215,12228) = 149365020
Least Common Multiple of 12215 and 12228 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12215 and 12228, than apply into the LCM equation.
GCF(12215,12228) = 1
LCM(12215,12228) = ( 12215 × 12228) / 1
LCM(12215,12228) = 149365020 / 1
LCM(12215,12228) = 149365020
Least Common Multiple (LCM) of 12215 and 12228 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12215 and 12228. First we will calculate the prime factors of 12215 and 12228.
Prime Factorization of 12215
Prime factors of 12215 are 5, 7, 349. Prime factorization of 12215 in exponential form is:
12215 = 51 × 71 × 3491
Prime Factorization of 12228
Prime factors of 12228 are 2, 3, 1019. Prime factorization of 12228 in exponential form is:
12228 = 22 × 31 × 10191
Now multiplying the highest exponent prime factors to calculate the LCM of 12215 and 12228.
LCM(12215,12228) = 51 × 71 × 3491 × 22 × 31 × 10191
LCM(12215,12228) = 149365020
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