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What is the Least Common Multiple of 22043 and 22053?

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 22043 and 22053 is 486114279.

LCM(22043,22053) = 486114279

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Least Common Multiple of 22043 and 22053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22043 and 22053, than apply into the LCM equation.

GCF(22043,22053) = 1
LCM(22043,22053) = ( 22043 × 22053) / 1
LCM(22043,22053) = 486114279 / 1
LCM(22043,22053) = 486114279

Least Common Multiple (LCM) of 22043 and 22053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22043 and 22053. First we will calculate the prime factors of 22043 and 22053.

Prime Factorization of 22043

Prime factors of 22043 are 7, 47, 67. Prime factorization of 22043 in exponential form is:

22043 = 71 × 471 × 671

Prime Factorization of 22053

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

22053 = 31 × 73511

Now multiplying the highest exponent prime factors to calculate the LCM of 22043 and 22053.

LCM(22043,22053) = 71 × 471 × 671 × 31 × 73511
LCM(22043,22053) = 486114279