What is the Least Common Multiple of 67079 and 67091?
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 67079 and 67091 is 4500397189.
LCM(67079,67091) = 4500397189
Least Common Multiple of 67079 and 67091 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67079 and 67091, than apply into the LCM equation.
GCF(67079,67091) = 1
LCM(67079,67091) = ( 67079 × 67091) / 1
LCM(67079,67091) = 4500397189 / 1
LCM(67079,67091) = 4500397189
Least Common Multiple (LCM) of 67079 and 67091 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67079 and 67091. First we will calculate the prime factors of 67079 and 67091.
Prime Factorization of 67079
Prime factors of 67079 are 67079. Prime factorization of 67079 in exponential form is:
67079 = 670791
Prime Factorization of 67091
Prime factors of 67091 are 23, 2917. Prime factorization of 67091 in exponential form is:
67091 = 231 × 29171
Now multiplying the highest exponent prime factors to calculate the LCM of 67079 and 67091.
LCM(67079,67091) = 670791 × 231 × 29171
LCM(67079,67091) = 4500397189
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