What is the Least Common Multiple of 67004 and 67020?
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 67004 and 67020 is 1122652020.
LCM(67004,67020) = 1122652020
Least Common Multiple of 67004 and 67020 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67004 and 67020, than apply into the LCM equation.
GCF(67004,67020) = 4
LCM(67004,67020) = ( 67004 × 67020) / 4
LCM(67004,67020) = 4490608080 / 4
LCM(67004,67020) = 1122652020
Least Common Multiple (LCM) of 67004 and 67020 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67004 and 67020. First we will calculate the prime factors of 67004 and 67020.
Prime Factorization of 67004
Prime factors of 67004 are 2, 7, 2393. Prime factorization of 67004 in exponential form is:
67004 = 22 × 71 × 23931
Prime Factorization of 67020
Prime factors of 67020 are 2, 3, 5, 1117. Prime factorization of 67020 in exponential form is:
67020 = 22 × 31 × 51 × 11171
Now multiplying the highest exponent prime factors to calculate the LCM of 67004 and 67020.
LCM(67004,67020) = 22 × 71 × 23931 × 31 × 51 × 11171
LCM(67004,67020) = 1122652020
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