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What is the Least Common Multiple of 62043 and 62055?

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 62043 and 62055 is 1283359455.

LCM(62043,62055) = 1283359455

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Least Common Multiple of 62043 and 62055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62043 and 62055, than apply into the LCM equation.

GCF(62043,62055) = 3
LCM(62043,62055) = ( 62043 × 62055) / 3
LCM(62043,62055) = 3850078365 / 3
LCM(62043,62055) = 1283359455

Least Common Multiple (LCM) of 62043 and 62055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62043 and 62055. First we will calculate the prime factors of 62043 and 62055.

Prime Factorization of 62043

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

62043 = 31 × 206811

Prime Factorization of 62055

Prime factors of 62055 are 3, 5, 7, 197. Prime factorization of 62055 in exponential form is:

62055 = 32 × 51 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 62043 and 62055.

LCM(62043,62055) = 32 × 206811 × 51 × 71 × 1971
LCM(62043,62055) = 1283359455