What is the Least Common Multiple of 44221 and 44230?
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 44221 and 44230 is 1955894830.
LCM(44221,44230) = 1955894830
Least Common Multiple of 44221 and 44230 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44221 and 44230, than apply into the LCM equation.
GCF(44221,44230) = 1
LCM(44221,44230) = ( 44221 × 44230) / 1
LCM(44221,44230) = 1955894830 / 1
LCM(44221,44230) = 1955894830
Least Common Multiple (LCM) of 44221 and 44230 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 44221 and 44230. First we will calculate the prime factors of 44221 and 44230.
Prime Factorization of 44221
Prime factors of 44221 are 44221. Prime factorization of 44221 in exponential form is:
44221 = 442211
Prime Factorization of 44230
Prime factors of 44230 are 2, 5, 4423. Prime factorization of 44230 in exponential form is:
44230 = 21 × 51 × 44231
Now multiplying the highest exponent prime factors to calculate the LCM of 44221 and 44230.
LCM(44221,44230) = 442211 × 21 × 51 × 44231
LCM(44221,44230) = 1955894830
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