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What is the Least Common Multiple of 62203 and 62215?

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 62215 is 3869959645.

LCM(62203,62215) = 3869959645

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Least Common Multiple of 62203 and 62215 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 62215, than apply into the LCM equation.

GCF(62203,62215) = 1
LCM(62203,62215) = ( 62203 × 62215) / 1
LCM(62203,62215) = 3869959645 / 1
LCM(62203,62215) = 3869959645

Least Common Multiple (LCM) of 62203 and 62215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62203 and 62215. First we will calculate the prime factors of 62203 and 62215.

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 62215

Prime factors of 62215 are 5, 23, 541. Prime factorization of 62215 in exponential form is:

62215 = 51 × 231 × 5411

Now multiplying the highest exponent prime factors to calculate the LCM of 62203 and 62215.

LCM(62203,62215) = 171 × 36591 × 51 × 231 × 5411
LCM(62203,62215) = 3869959645