What is the Least Common Multiple of 12146 and 12166?
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 12146 and 12166 is 73884118.
LCM(12146,12166) = 73884118
Least Common Multiple of 12146 and 12166 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12146 and 12166, than apply into the LCM equation.
GCF(12146,12166) = 2
LCM(12146,12166) = ( 12146 × 12166) / 2
LCM(12146,12166) = 147768236 / 2
LCM(12146,12166) = 73884118
Least Common Multiple (LCM) of 12146 and 12166 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12146 and 12166. First we will calculate the prime factors of 12146 and 12166.
Prime Factorization of 12146
Prime factors of 12146 are 2, 6073. Prime factorization of 12146 in exponential form is:
12146 = 21 × 60731
Prime Factorization of 12166
Prime factors of 12166 are 2, 7, 11, 79. Prime factorization of 12166 in exponential form is:
12166 = 21 × 71 × 111 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 12146 and 12166.
LCM(12146,12166) = 21 × 60731 × 71 × 111 × 791
LCM(12146,12166) = 73884118
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