What is the Least Common Multiple of 44227 and 44247?
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 44227 and 44247 is 1956912069.
LCM(44227,44247) = 1956912069
Least Common Multiple of 44227 and 44247 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44227 and 44247, than apply into the LCM equation.
GCF(44227,44247) = 1
LCM(44227,44247) = ( 44227 × 44247) / 1
LCM(44227,44247) = 1956912069 / 1
LCM(44227,44247) = 1956912069
Least Common Multiple (LCM) of 44227 and 44247 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44227 and 44247. First we will calculate the prime factors of 44227 and 44247.
Prime Factorization of 44227
Prime factors of 44227 are 47, 941. Prime factorization of 44227 in exponential form is:
44227 = 471 × 9411
Prime Factorization of 44247
Prime factors of 44247 are 3, 7, 43. Prime factorization of 44247 in exponential form is:
44247 = 31 × 73 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 44227 and 44247.
LCM(44227,44247) = 471 × 9411 × 31 × 73 × 431
LCM(44227,44247) = 1956912069
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