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What is the Least Common Multiple of 62057 and 62070?

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 62057 and 62070 is 3851877990.

LCM(62057,62070) = 3851877990

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Least Common Multiple of 62057 and 62070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62057 and 62070, than apply into the LCM equation.

GCF(62057,62070) = 1
LCM(62057,62070) = ( 62057 × 62070) / 1
LCM(62057,62070) = 3851877990 / 1
LCM(62057,62070) = 3851877990

Least Common Multiple (LCM) of 62057 and 62070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62057 and 62070. First we will calculate the prime factors of 62057 and 62070.

Prime Factorization of 62057

Prime factors of 62057 are 62057. Prime factorization of 62057 in exponential form is:

62057 = 620571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 62057 and 62070.

LCM(62057,62070) = 620571 × 21 × 31 × 51 × 20691
LCM(62057,62070) = 3851877990