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What is the Least Common Multiple of 44222 and 44232?

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 44222 and 44232 is 978013752.

LCM(44222,44232) = 978013752

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Least Common Multiple of 44222 and 44232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44222 and 44232, than apply into the LCM equation.

GCF(44222,44232) = 2
LCM(44222,44232) = ( 44222 × 44232) / 2
LCM(44222,44232) = 1956027504 / 2
LCM(44222,44232) = 978013752

Least Common Multiple (LCM) of 44222 and 44232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44222 and 44232. First we will calculate the prime factors of 44222 and 44232.

Prime Factorization of 44222

Prime factors of 44222 are 2, 22111. Prime factorization of 44222 in exponential form is:

44222 = 21 × 221111

Prime Factorization of 44232

Prime factors of 44232 are 2, 3, 19, 97. Prime factorization of 44232 in exponential form is:

44232 = 23 × 31 × 191 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 44222 and 44232.

LCM(44222,44232) = 23 × 221111 × 31 × 191 × 971
LCM(44222,44232) = 978013752