What is the Least Common Multiple of 66212 and 66227?
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 66212 and 66227 is 4385022124.
LCM(66212,66227) = 4385022124
Least Common Multiple of 66212 and 66227 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66212 and 66227, than apply into the LCM equation.
GCF(66212,66227) = 1
LCM(66212,66227) = ( 66212 × 66227) / 1
LCM(66212,66227) = 4385022124 / 1
LCM(66212,66227) = 4385022124
Least Common Multiple (LCM) of 66212 and 66227 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66212 and 66227. First we will calculate the prime factors of 66212 and 66227.
Prime Factorization of 66212
Prime factors of 66212 are 2, 16553. Prime factorization of 66212 in exponential form is:
66212 = 22 × 165531
Prime Factorization of 66227
Prime factors of 66227 are 7, 9461. Prime factorization of 66227 in exponential form is:
66227 = 71 × 94611
Now multiplying the highest exponent prime factors to calculate the LCM of 66212 and 66227.
LCM(66212,66227) = 22 × 165531 × 71 × 94611
LCM(66212,66227) = 4385022124
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