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What is the Least Common Multiple of 62015 and 62029?

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 62015 and 62029 is 3846728435.

LCM(62015,62029) = 3846728435

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Least Common Multiple of 62015 and 62029 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62015 and 62029, than apply into the LCM equation.

GCF(62015,62029) = 1
LCM(62015,62029) = ( 62015 × 62029) / 1
LCM(62015,62029) = 3846728435 / 1
LCM(62015,62029) = 3846728435

Least Common Multiple (LCM) of 62015 and 62029 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62015 and 62029. First we will calculate the prime factors of 62015 and 62029.

Prime Factorization of 62015

Prime factors of 62015 are 5, 79, 157. Prime factorization of 62015 in exponential form is:

62015 = 51 × 791 × 1571

Prime Factorization of 62029

Prime factors of 62029 are 11, 5639. Prime factorization of 62029 in exponential form is:

62029 = 111 × 56391

Now multiplying the highest exponent prime factors to calculate the LCM of 62015 and 62029.

LCM(62015,62029) = 51 × 791 × 1571 × 111 × 56391
LCM(62015,62029) = 3846728435