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What is the Least Common Multiple of 62032 and 62043?

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 62032 and 62043 is 3848651376.

LCM(62032,62043) = 3848651376

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Least Common Multiple of 62032 and 62043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62032 and 62043, than apply into the LCM equation.

GCF(62032,62043) = 1
LCM(62032,62043) = ( 62032 × 62043) / 1
LCM(62032,62043) = 3848651376 / 1
LCM(62032,62043) = 3848651376

Least Common Multiple (LCM) of 62032 and 62043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62032 and 62043. First we will calculate the prime factors of 62032 and 62043.

Prime Factorization of 62032

Prime factors of 62032 are 2, 3877. Prime factorization of 62032 in exponential form is:

62032 = 24 × 38771

Prime Factorization of 62043

Prime factors of 62043 are 3, 20681. Prime factorization of 62043 in exponential form is:

62043 = 31 × 206811

Now multiplying the highest exponent prime factors to calculate the LCM of 62032 and 62043.

LCM(62032,62043) = 24 × 38771 × 31 × 206811
LCM(62032,62043) = 3848651376