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What is the Least Common Multiple of 43222 and 43237?

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 43222 and 43237 is 1868789614.

LCM(43222,43237) = 1868789614

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Least Common Multiple of 43222 and 43237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43222 and 43237, than apply into the LCM equation.

GCF(43222,43237) = 1
LCM(43222,43237) = ( 43222 × 43237) / 1
LCM(43222,43237) = 1868789614 / 1
LCM(43222,43237) = 1868789614

Least Common Multiple (LCM) of 43222 and 43237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43222 and 43237. First we will calculate the prime factors of 43222 and 43237.

Prime Factorization of 43222

Prime factors of 43222 are 2, 21611. Prime factorization of 43222 in exponential form is:

43222 = 21 × 216111

Prime Factorization of 43237

Prime factors of 43237 are 43237. Prime factorization of 43237 in exponential form is:

43237 = 432371

Now multiplying the highest exponent prime factors to calculate the LCM of 43222 and 43237.

LCM(43222,43237) = 21 × 216111 × 432371
LCM(43222,43237) = 1868789614