What is the Least Common Multiple of 66227 and 66247?
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 66227 and 66247 is 4387340069.
LCM(66227,66247) = 4387340069
Least Common Multiple of 66227 and 66247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66227 and 66247, than apply into the LCM equation.
GCF(66227,66247) = 1
LCM(66227,66247) = ( 66227 × 66247) / 1
LCM(66227,66247) = 4387340069 / 1
LCM(66227,66247) = 4387340069
Least Common Multiple (LCM) of 66227 and 66247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66227 and 66247. First we will calculate the prime factors of 66227 and 66247.
Prime Factorization of 66227
Prime factors of 66227 are 7, 9461. Prime factorization of 66227 in exponential form is:
66227 = 71 × 94611
Prime Factorization of 66247
Prime factors of 66247 are 31, 2137. Prime factorization of 66247 in exponential form is:
66247 = 311 × 21371
Now multiplying the highest exponent prime factors to calculate the LCM of 66227 and 66247.
LCM(66227,66247) = 71 × 94611 × 311 × 21371
LCM(66227,66247) = 4387340069
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