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What is the Least Common Multiple of 62222 and 62230?

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 62222 and 62230 is 1936037530.

LCM(62222,62230) = 1936037530

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Least Common Multiple of 62222 and 62230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62222 and 62230, than apply into the LCM equation.

GCF(62222,62230) = 2
LCM(62222,62230) = ( 62222 × 62230) / 2
LCM(62222,62230) = 3872075060 / 2
LCM(62222,62230) = 1936037530

Least Common Multiple (LCM) of 62222 and 62230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62222 and 62230. First we will calculate the prime factors of 62222 and 62230.

Prime Factorization of 62222

Prime factors of 62222 are 2, 53, 587. Prime factorization of 62222 in exponential form is:

62222 = 21 × 531 × 5871

Prime Factorization of 62230

Prime factors of 62230 are 2, 5, 7, 127. Prime factorization of 62230 in exponential form is:

62230 = 21 × 51 × 72 × 1271

Now multiplying the highest exponent prime factors to calculate the LCM of 62222 and 62230.

LCM(62222,62230) = 21 × 531 × 5871 × 51 × 72 × 1271
LCM(62222,62230) = 1936037530