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What is the Least Common Multiple of 22222 and 22237?

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 22222 and 22237 is 494150614.

LCM(22222,22237) = 494150614

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Least Common Multiple of 22222 and 22237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22222 and 22237, than apply into the LCM equation.

GCF(22222,22237) = 1
LCM(22222,22237) = ( 22222 × 22237) / 1
LCM(22222,22237) = 494150614 / 1
LCM(22222,22237) = 494150614

Least Common Multiple (LCM) of 22222 and 22237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22222 and 22237. First we will calculate the prime factors of 22222 and 22237.

Prime Factorization of 22222

Prime factors of 22222 are 2, 41, 271. Prime factorization of 22222 in exponential form is:

22222 = 21 × 411 × 2711

Prime Factorization of 22237

Prime factors of 22237 are 37, 601. Prime factorization of 22237 in exponential form is:

22237 = 371 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 22222 and 22237.

LCM(22222,22237) = 21 × 411 × 2711 × 371 × 6011
LCM(22222,22237) = 494150614