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What is the Least Common Multiple of 22058 and 22069?

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 22058 and 22069 is 486798002.

LCM(22058,22069) = 486798002

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Least Common Multiple of 22058 and 22069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22058 and 22069, than apply into the LCM equation.

GCF(22058,22069) = 1
LCM(22058,22069) = ( 22058 × 22069) / 1
LCM(22058,22069) = 486798002 / 1
LCM(22058,22069) = 486798002

Least Common Multiple (LCM) of 22058 and 22069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22058 and 22069. First we will calculate the prime factors of 22058 and 22069.

Prime Factorization of 22058

Prime factors of 22058 are 2, 41, 269. Prime factorization of 22058 in exponential form is:

22058 = 21 × 411 × 2691

Prime Factorization of 22069

Prime factors of 22069 are 29, 761. Prime factorization of 22069 in exponential form is:

22069 = 291 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 22058 and 22069.

LCM(22058,22069) = 21 × 411 × 2691 × 291 × 7611
LCM(22058,22069) = 486798002