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What is the Least Common Multiple of 62035 and 62041?

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 62035 and 62041 is 3848713435.

LCM(62035,62041) = 3848713435

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Least Common Multiple of 62035 and 62041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62035 and 62041, than apply into the LCM equation.

GCF(62035,62041) = 1
LCM(62035,62041) = ( 62035 × 62041) / 1
LCM(62035,62041) = 3848713435 / 1
LCM(62035,62041) = 3848713435

Least Common Multiple (LCM) of 62035 and 62041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62035 and 62041. First we will calculate the prime factors of 62035 and 62041.

Prime Factorization of 62035

Prime factors of 62035 are 5, 19, 653. Prime factorization of 62035 in exponential form is:

62035 = 51 × 191 × 6531

Prime Factorization of 62041

Prime factors of 62041 are 7, 8863. Prime factorization of 62041 in exponential form is:

62041 = 71 × 88631

Now multiplying the highest exponent prime factors to calculate the LCM of 62035 and 62041.

LCM(62035,62041) = 51 × 191 × 6531 × 71 × 88631
LCM(62035,62041) = 3848713435