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What is the Least Common Multiple of 62070 and 62081?

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 62070 and 62081 is 3853367670.

LCM(62070,62081) = 3853367670

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Least Common Multiple of 62070 and 62081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62070 and 62081, than apply into the LCM equation.

GCF(62070,62081) = 1
LCM(62070,62081) = ( 62070 × 62081) / 1
LCM(62070,62081) = 3853367670 / 1
LCM(62070,62081) = 3853367670

Least Common Multiple (LCM) of 62070 and 62081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62070 and 62081. First we will calculate the prime factors of 62070 and 62081.

Prime Factorization of 62070

Prime factors of 62070 are 2, 3, 5, 2069. Prime factorization of 62070 in exponential form is:

62070 = 21 × 31 × 51 × 20691

Prime Factorization of 62081

Prime factors of 62081 are 62081. Prime factorization of 62081 in exponential form is:

62081 = 620811

Now multiplying the highest exponent prime factors to calculate the LCM of 62070 and 62081.

LCM(62070,62081) = 21 × 31 × 51 × 20691 × 620811
LCM(62070,62081) = 3853367670