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What is the Least Common Multiple of 22054 and 22062?

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 22054 and 22062 is 243277674.

LCM(22054,22062) = 243277674

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Least Common Multiple of 22054 and 22062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22054 and 22062, than apply into the LCM equation.

GCF(22054,22062) = 2
LCM(22054,22062) = ( 22054 × 22062) / 2
LCM(22054,22062) = 486555348 / 2
LCM(22054,22062) = 243277674

Least Common Multiple (LCM) of 22054 and 22062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22054 and 22062. First we will calculate the prime factors of 22054 and 22062.

Prime Factorization of 22054

Prime factors of 22054 are 2, 11027. Prime factorization of 22054 in exponential form is:

22054 = 21 × 110271

Prime Factorization of 22062

Prime factors of 22062 are 2, 3, 3677. Prime factorization of 22062 in exponential form is:

22062 = 21 × 31 × 36771

Now multiplying the highest exponent prime factors to calculate the LCM of 22054 and 22062.

LCM(22054,22062) = 21 × 110271 × 31 × 36771
LCM(22054,22062) = 243277674