What is the Least Common Multiple of 67192 and 67211?
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 67192 and 67211 is 4516041512.
LCM(67192,67211) = 4516041512
Least Common Multiple of 67192 and 67211 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67192 and 67211, than apply into the LCM equation.
GCF(67192,67211) = 1
LCM(67192,67211) = ( 67192 × 67211) / 1
LCM(67192,67211) = 4516041512 / 1
LCM(67192,67211) = 4516041512
Least Common Multiple (LCM) of 67192 and 67211 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67192 and 67211. First we will calculate the prime factors of 67192 and 67211.
Prime Factorization of 67192
Prime factors of 67192 are 2, 37, 227. Prime factorization of 67192 in exponential form is:
67192 = 23 × 371 × 2271
Prime Factorization of 67211
Prime factors of 67211 are 67211. Prime factorization of 67211 in exponential form is:
67211 = 672111
Now multiplying the highest exponent prime factors to calculate the LCM of 67192 and 67211.
LCM(67192,67211) = 23 × 371 × 2271 × 672111
LCM(67192,67211) = 4516041512
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