What is the Least Common Multiple of 12124 and 12136?
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 12124 and 12136 is 36784216.
LCM(12124,12136) = 36784216
Least Common Multiple of 12124 and 12136 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12124 and 12136, than apply into the LCM equation.
GCF(12124,12136) = 4
LCM(12124,12136) = ( 12124 × 12136) / 4
LCM(12124,12136) = 147136864 / 4
LCM(12124,12136) = 36784216
Least Common Multiple (LCM) of 12124 and 12136 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12124 and 12136. First we will calculate the prime factors of 12124 and 12136.
Prime Factorization of 12124
Prime factors of 12124 are 2, 7, 433. Prime factorization of 12124 in exponential form is:
12124 = 22 × 71 × 4331
Prime Factorization of 12136
Prime factors of 12136 are 2, 37, 41. Prime factorization of 12136 in exponential form is:
12136 = 23 × 371 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 12124 and 12136.
LCM(12124,12136) = 23 × 71 × 4331 × 371 × 411
LCM(12124,12136) = 36784216
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