What is the Least Common Multiple of 12158 and 12170?
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 12158 and 12170 is 73981430.
LCM(12158,12170) = 73981430
Least Common Multiple of 12158 and 12170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12158 and 12170, than apply into the LCM equation.
GCF(12158,12170) = 2
LCM(12158,12170) = ( 12158 × 12170) / 2
LCM(12158,12170) = 147962860 / 2
LCM(12158,12170) = 73981430
Least Common Multiple (LCM) of 12158 and 12170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12158 and 12170. First we will calculate the prime factors of 12158 and 12170.
Prime Factorization of 12158
Prime factors of 12158 are 2, 6079. Prime factorization of 12158 in exponential form is:
12158 = 21 × 60791
Prime Factorization of 12170
Prime factors of 12170 are 2, 5, 1217. Prime factorization of 12170 in exponential form is:
12170 = 21 × 51 × 12171
Now multiplying the highest exponent prime factors to calculate the LCM of 12158 and 12170.
LCM(12158,12170) = 21 × 60791 × 51 × 12171
LCM(12158,12170) = 73981430
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