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What is the Least Common Multiple of 62297 and 62302?

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 62297 and 62302 is 3881227694.

LCM(62297,62302) = 3881227694

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Least Common Multiple of 62297 and 62302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62297 and 62302, than apply into the LCM equation.

GCF(62297,62302) = 1
LCM(62297,62302) = ( 62297 × 62302) / 1
LCM(62297,62302) = 3881227694 / 1
LCM(62297,62302) = 3881227694

Least Common Multiple (LCM) of 62297 and 62302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62297 and 62302. First we will calculate the prime factors of 62297 and 62302.

Prime Factorization of 62297

Prime factors of 62297 are 62297. Prime factorization of 62297 in exponential form is:

62297 = 622971

Prime Factorization of 62302

Prime factors of 62302 are 2, 31151. Prime factorization of 62302 in exponential form is:

62302 = 21 × 311511

Now multiplying the highest exponent prime factors to calculate the LCM of 62297 and 62302.

LCM(62297,62302) = 622971 × 21 × 311511
LCM(62297,62302) = 3881227694