What is the Least Common Multiple of 12146 and 12152?
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 12152 is 73799096.
LCM(12146,12152) = 73799096
Least Common Multiple of 12146 and 12152 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 12152, than apply into the LCM equation.
GCF(12146,12152) = 2
LCM(12146,12152) = ( 12146 × 12152) / 2
LCM(12146,12152) = 147598192 / 2
LCM(12146,12152) = 73799096
Least Common Multiple (LCM) of 12146 and 12152 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12146 and 12152. First we will calculate the prime factors of 12146 and 12152.
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 12152
Prime factors of 12152 are 2, 7, 31. Prime factorization of 12152 in exponential form is:
12152 = 23 × 72 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 12146 and 12152.
LCM(12146,12152) = 23 × 60731 × 72 × 311
LCM(12146,12152) = 73799096
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