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What is the Least Common Multiple of 22153 and 22161?

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 22161 is 490932633.

LCM(22153,22161) = 490932633

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Least Common Multiple of 22153 and 22161 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 22161, than apply into the LCM equation.

GCF(22153,22161) = 1
LCM(22153,22161) = ( 22153 × 22161) / 1
LCM(22153,22161) = 490932633 / 1
LCM(22153,22161) = 490932633

Least Common Multiple (LCM) of 22153 and 22161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22153 and 22161. First we will calculate the prime factors of 22153 and 22161.

Prime Factorization of 22153

Prime factors of 22153 are 22153. Prime factorization of 22153 in exponential form is:

22153 = 221531

Prime Factorization of 22161

Prime factors of 22161 are 3, 83, 89. Prime factorization of 22161 in exponential form is:

22161 = 31 × 831 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 22153 and 22161.

LCM(22153,22161) = 221531 × 31 × 831 × 891
LCM(22153,22161) = 490932633