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What is the Least Common Multiple of 62225 and 62239?

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 62225 and 62239 is 3872821775.

LCM(62225,62239) = 3872821775

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Least Common Multiple of 62225 and 62239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62225 and 62239, than apply into the LCM equation.

GCF(62225,62239) = 1
LCM(62225,62239) = ( 62225 × 62239) / 1
LCM(62225,62239) = 3872821775 / 1
LCM(62225,62239) = 3872821775

Least Common Multiple (LCM) of 62225 and 62239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62225 and 62239. First we will calculate the prime factors of 62225 and 62239.

Prime Factorization of 62225

Prime factors of 62225 are 5, 19, 131. Prime factorization of 62225 in exponential form is:

62225 = 52 × 191 × 1311

Prime Factorization of 62239

Prime factors of 62239 are 109, 571. Prime factorization of 62239 in exponential form is:

62239 = 1091 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 62225 and 62239.

LCM(62225,62239) = 52 × 191 × 1311 × 1091 × 5711
LCM(62225,62239) = 3872821775