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What is the Least Common Multiple of 22062 and 22068?

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 22062 and 22068 is 81144036.

LCM(22062,22068) = 81144036

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Least Common Multiple of 22062 and 22068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22062 and 22068, than apply into the LCM equation.

GCF(22062,22068) = 6
LCM(22062,22068) = ( 22062 × 22068) / 6
LCM(22062,22068) = 486864216 / 6
LCM(22062,22068) = 81144036

Least Common Multiple (LCM) of 22062 and 22068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22062 and 22068. First we will calculate the prime factors of 22062 and 22068.

Prime Factorization of 22062

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

22062 = 21 × 31 × 36771

Prime Factorization of 22068

Prime factors of 22068 are 2, 3, 613. Prime factorization of 22068 in exponential form is:

22068 = 22 × 32 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 22062 and 22068.

LCM(22062,22068) = 22 × 32 × 36771 × 6131
LCM(22062,22068) = 81144036