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What is the Least Common Multiple of 62203 and 62210?

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 62203 and 62210 is 3869648630.

LCM(62203,62210) = 3869648630

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Least Common Multiple of 62203 and 62210 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62203 and 62210, than apply into the LCM equation.

GCF(62203,62210) = 1
LCM(62203,62210) = ( 62203 × 62210) / 1
LCM(62203,62210) = 3869648630 / 1
LCM(62203,62210) = 3869648630

Least Common Multiple (LCM) of 62203 and 62210 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62203 and 62210. First we will calculate the prime factors of 62203 and 62210.

Prime Factorization of 62203

Prime factors of 62203 are 17, 3659. Prime factorization of 62203 in exponential form is:

62203 = 171 × 36591

Prime Factorization of 62210

Prime factors of 62210 are 2, 5, 6221. Prime factorization of 62210 in exponential form is:

62210 = 21 × 51 × 62211

Now multiplying the highest exponent prime factors to calculate the LCM of 62203 and 62210.

LCM(62203,62210) = 171 × 36591 × 21 × 51 × 62211
LCM(62203,62210) = 3869648630