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What is the Least Common Multiple of 22053 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 22053 and 22062 is 162177762.

LCM(22053,22062) = 162177762

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Least Common Multiple of 22053 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 22053 and 22062, than apply into the LCM equation.

GCF(22053,22062) = 3
LCM(22053,22062) = ( 22053 × 22062) / 3
LCM(22053,22062) = 486533286 / 3
LCM(22053,22062) = 162177762

Least Common Multiple (LCM) of 22053 and 22062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22053 and 22062. First we will calculate the prime factors of 22053 and 22062.

Prime Factorization of 22053

Prime factors of 22053 are 3, 7351. Prime factorization of 22053 in exponential form is:

22053 = 31 × 73511

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 22053 and 22062.

LCM(22053,22062) = 31 × 73511 × 21 × 36771
LCM(22053,22062) = 162177762