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What is the Least Common Multiple of 22973 and 22979?

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 22973 and 22979 is 527896567.

LCM(22973,22979) = 527896567

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Least Common Multiple of 22973 and 22979 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22973 and 22979, than apply into the LCM equation.

GCF(22973,22979) = 1
LCM(22973,22979) = ( 22973 × 22979) / 1
LCM(22973,22979) = 527896567 / 1
LCM(22973,22979) = 527896567

Least Common Multiple (LCM) of 22973 and 22979 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22973 and 22979. First we will calculate the prime factors of 22973 and 22979.

Prime Factorization of 22973

Prime factors of 22973 are 22973. Prime factorization of 22973 in exponential form is:

22973 = 229731

Prime Factorization of 22979

Prime factors of 22979 are 11, 2089. Prime factorization of 22979 in exponential form is:

22979 = 111 × 20891

Now multiplying the highest exponent prime factors to calculate the LCM of 22973 and 22979.

LCM(22973,22979) = 229731 × 111 × 20891
LCM(22973,22979) = 527896567