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What is the Least Common Multiple of 22147 and 22153?

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 22147 and 22153 is 490622491.

LCM(22147,22153) = 490622491

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Least Common Multiple of 22147 and 22153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22147 and 22153, than apply into the LCM equation.

GCF(22147,22153) = 1
LCM(22147,22153) = ( 22147 × 22153) / 1
LCM(22147,22153) = 490622491 / 1
LCM(22147,22153) = 490622491

Least Common Multiple (LCM) of 22147 and 22153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22147 and 22153. First we will calculate the prime factors of 22147 and 22153.

Prime Factorization of 22147

Prime factors of 22147 are 22147. Prime factorization of 22147 in exponential form is:

22147 = 221471

Prime Factorization of 22153

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

22153 = 221531

Now multiplying the highest exponent prime factors to calculate the LCM of 22147 and 22153.

LCM(22147,22153) = 221471 × 221531
LCM(22147,22153) = 490622491