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What is the Least Common Multiple of 62332 and 62337?

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 62332 and 62337 is 3885589884.

LCM(62332,62337) = 3885589884

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Least Common Multiple of 62332 and 62337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62332 and 62337, than apply into the LCM equation.

GCF(62332,62337) = 1
LCM(62332,62337) = ( 62332 × 62337) / 1
LCM(62332,62337) = 3885589884 / 1
LCM(62332,62337) = 3885589884

Least Common Multiple (LCM) of 62332 and 62337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62332 and 62337. First we will calculate the prime factors of 62332 and 62337.

Prime Factorization of 62332

Prime factors of 62332 are 2, 15583. Prime factorization of 62332 in exponential form is:

62332 = 22 × 155831

Prime Factorization of 62337

Prime factors of 62337 are 3, 11, 1889. Prime factorization of 62337 in exponential form is:

62337 = 31 × 111 × 18891

Now multiplying the highest exponent prime factors to calculate the LCM of 62332 and 62337.

LCM(62332,62337) = 22 × 155831 × 31 × 111 × 18891
LCM(62332,62337) = 3885589884