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What is the Least Common Multiple of 22273 and 22283?

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 22273 and 22283 is 496309259.

LCM(22273,22283) = 496309259

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Least Common Multiple of 22273 and 22283 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22273 and 22283, than apply into the LCM equation.

GCF(22273,22283) = 1
LCM(22273,22283) = ( 22273 × 22283) / 1
LCM(22273,22283) = 496309259 / 1
LCM(22273,22283) = 496309259

Least Common Multiple (LCM) of 22273 and 22283 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22273 and 22283. First we will calculate the prime factors of 22273 and 22283.

Prime Factorization of 22273

Prime factors of 22273 are 22273. Prime factorization of 22273 in exponential form is:

22273 = 222731

Prime Factorization of 22283

Prime factors of 22283 are 22283. Prime factorization of 22283 in exponential form is:

22283 = 222831

Now multiplying the highest exponent prime factors to calculate the LCM of 22273 and 22283.

LCM(22273,22283) = 222731 × 222831
LCM(22273,22283) = 496309259