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What is the Least Common Multiple of 22943 and 22953?

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 22943 and 22953 is 526610679.

LCM(22943,22953) = 526610679

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Least Common Multiple of 22943 and 22953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22943 and 22953, than apply into the LCM equation.

GCF(22943,22953) = 1
LCM(22943,22953) = ( 22943 × 22953) / 1
LCM(22943,22953) = 526610679 / 1
LCM(22943,22953) = 526610679

Least Common Multiple (LCM) of 22943 and 22953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22943 and 22953. First we will calculate the prime factors of 22943 and 22953.

Prime Factorization of 22943

Prime factors of 22943 are 22943. Prime factorization of 22943 in exponential form is:

22943 = 229431

Prime Factorization of 22953

Prime factors of 22953 are 3, 7, 1093. Prime factorization of 22953 in exponential form is:

22953 = 31 × 71 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 22943 and 22953.

LCM(22943,22953) = 229431 × 31 × 71 × 10931
LCM(22943,22953) = 526610679