What is the Least Common Multiple of 12241 and 12246?
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 12241 and 12246 is 149903286.
LCM(12241,12246) = 149903286
Least Common Multiple of 12241 and 12246 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12241 and 12246, than apply into the LCM equation.
GCF(12241,12246) = 1
LCM(12241,12246) = ( 12241 × 12246) / 1
LCM(12241,12246) = 149903286 / 1
LCM(12241,12246) = 149903286
Least Common Multiple (LCM) of 12241 and 12246 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12241 and 12246. First we will calculate the prime factors of 12241 and 12246.
Prime Factorization of 12241
Prime factors of 12241 are 12241. Prime factorization of 12241 in exponential form is:
12241 = 122411
Prime Factorization of 12246
Prime factors of 12246 are 2, 3, 13, 157. Prime factorization of 12246 in exponential form is:
12246 = 21 × 31 × 131 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 12241 and 12246.
LCM(12241,12246) = 122411 × 21 × 31 × 131 × 1571
LCM(12241,12246) = 149903286
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