What is the Least Common Multiple of 22133 and 22137?
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 22133 and 22137 is 489958221.
LCM(22133,22137) = 489958221
Least Common Multiple of 22133 and 22137 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22133 and 22137, than apply into the LCM equation.
GCF(22133,22137) = 1
LCM(22133,22137) = ( 22133 × 22137) / 1
LCM(22133,22137) = 489958221 / 1
LCM(22133,22137) = 489958221
Least Common Multiple (LCM) of 22133 and 22137 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22133 and 22137. First we will calculate the prime factors of 22133 and 22137.
Prime Factorization of 22133
Prime factors of 22133 are 22133. Prime factorization of 22133 in exponential form is:
22133 = 221331
Prime Factorization of 22137
Prime factors of 22137 are 3, 47, 157. Prime factorization of 22137 in exponential form is:
22137 = 31 × 471 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 22133 and 22137.
LCM(22133,22137) = 221331 × 31 × 471 × 1571
LCM(22133,22137) = 489958221
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