What is the Least Common Multiple of 22153 and 22165?
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 22153 and 22165 is 491021245.
LCM(22153,22165) = 491021245
Least Common Multiple of 22153 and 22165 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22153 and 22165, than apply into the LCM equation.
GCF(22153,22165) = 1
LCM(22153,22165) = ( 22153 × 22165) / 1
LCM(22153,22165) = 491021245 / 1
LCM(22153,22165) = 491021245
Least Common Multiple (LCM) of 22153 and 22165 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22153 and 22165. First we will calculate the prime factors of 22153 and 22165.
Prime Factorization of 22153
Prime factors of 22153 are 22153. Prime factorization of 22153 in exponential form is:
22153 = 221531
Prime Factorization of 22165
Prime factors of 22165 are 5, 11, 13, 31. Prime factorization of 22165 in exponential form is:
22165 = 51 × 111 × 131 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 22153 and 22165.
LCM(22153,22165) = 221531 × 51 × 111 × 131 × 311
LCM(22153,22165) = 491021245
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