What is the Least Common Multiple of 67156 and 67176?
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 67156 and 67176 is 1127817864.
LCM(67156,67176) = 1127817864
Least Common Multiple of 67156 and 67176 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67156 and 67176, than apply into the LCM equation.
GCF(67156,67176) = 4
LCM(67156,67176) = ( 67156 × 67176) / 4
LCM(67156,67176) = 4511271456 / 4
LCM(67156,67176) = 1127817864
Least Common Multiple (LCM) of 67156 and 67176 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67156 and 67176. First we will calculate the prime factors of 67156 and 67176.
Prime Factorization of 67156
Prime factors of 67156 are 2, 103, 163. Prime factorization of 67156 in exponential form is:
67156 = 22 × 1031 × 1631
Prime Factorization of 67176
Prime factors of 67176 are 2, 3, 311. Prime factorization of 67176 in exponential form is:
67176 = 23 × 33 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 67156 and 67176.
LCM(67156,67176) = 23 × 1031 × 1631 × 33 × 3111
LCM(67156,67176) = 1127817864
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