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What is the Least Common Multiple of 22055 and 22067?

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 22055 and 22067 is 486687685.

LCM(22055,22067) = 486687685

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Least Common Multiple of 22055 and 22067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22055 and 22067, than apply into the LCM equation.

GCF(22055,22067) = 1
LCM(22055,22067) = ( 22055 × 22067) / 1
LCM(22055,22067) = 486687685 / 1
LCM(22055,22067) = 486687685

Least Common Multiple (LCM) of 22055 and 22067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22055 and 22067. First we will calculate the prime factors of 22055 and 22067.

Prime Factorization of 22055

Prime factors of 22055 are 5, 11, 401. Prime factorization of 22055 in exponential form is:

22055 = 51 × 111 × 4011

Prime Factorization of 22067

Prime factors of 22067 are 22067. Prime factorization of 22067 in exponential form is:

22067 = 220671

Now multiplying the highest exponent prime factors to calculate the LCM of 22055 and 22067.

LCM(22055,22067) = 51 × 111 × 4011 × 220671
LCM(22055,22067) = 486687685