What is the Least Common Multiple of 66009 and 66022?
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 66009 and 66022 is 4358046198.
LCM(66009,66022) = 4358046198
Least Common Multiple of 66009 and 66022 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66009 and 66022, than apply into the LCM equation.
GCF(66009,66022) = 1
LCM(66009,66022) = ( 66009 × 66022) / 1
LCM(66009,66022) = 4358046198 / 1
LCM(66009,66022) = 4358046198
Least Common Multiple (LCM) of 66009 and 66022 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66009 and 66022. First we will calculate the prime factors of 66009 and 66022.
Prime Factorization of 66009
Prime factors of 66009 are 3, 22003. Prime factorization of 66009 in exponential form is:
66009 = 31 × 220031
Prime Factorization of 66022
Prime factors of 66022 are 2, 11, 3001. Prime factorization of 66022 in exponential form is:
66022 = 21 × 111 × 30011
Now multiplying the highest exponent prime factors to calculate the LCM of 66009 and 66022.
LCM(66009,66022) = 31 × 220031 × 21 × 111 × 30011
LCM(66009,66022) = 4358046198
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