What is the Least Common Multiple of 66042 and 66055?
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 66042 and 66055 is 4362404310.
LCM(66042,66055) = 4362404310
Least Common Multiple of 66042 and 66055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66042 and 66055, than apply into the LCM equation.
GCF(66042,66055) = 1
LCM(66042,66055) = ( 66042 × 66055) / 1
LCM(66042,66055) = 4362404310 / 1
LCM(66042,66055) = 4362404310
Least Common Multiple (LCM) of 66042 and 66055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66042 and 66055. First we will calculate the prime factors of 66042 and 66055.
Prime Factorization of 66042
Prime factors of 66042 are 2, 3, 1223. Prime factorization of 66042 in exponential form is:
66042 = 21 × 33 × 12231
Prime Factorization of 66055
Prime factors of 66055 are 5, 11, 1201. Prime factorization of 66055 in exponential form is:
66055 = 51 × 111 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 66042 and 66055.
LCM(66042,66055) = 21 × 33 × 12231 × 51 × 111 × 12011
LCM(66042,66055) = 4362404310
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