What is the Least Common Multiple of 72227 and 72247?
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 72227 and 72247 is 5218184069.
LCM(72227,72247) = 5218184069
Least Common Multiple of 72227 and 72247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72227 and 72247, than apply into the LCM equation.
GCF(72227,72247) = 1
LCM(72227,72247) = ( 72227 × 72247) / 1
LCM(72227,72247) = 5218184069 / 1
LCM(72227,72247) = 5218184069
Least Common Multiple (LCM) of 72227 and 72247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 72227 and 72247. First we will calculate the prime factors of 72227 and 72247.
Prime Factorization of 72227
Prime factors of 72227 are 72227. Prime factorization of 72227 in exponential form is:
72227 = 722271
Prime Factorization of 72247
Prime factors of 72247 are 7, 10321. Prime factorization of 72247 in exponential form is:
72247 = 71 × 103211
Now multiplying the highest exponent prime factors to calculate the LCM of 72227 and 72247.
LCM(72227,72247) = 722271 × 71 × 103211
LCM(72227,72247) = 5218184069
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