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What is the Least Common Multiple of 62051 and 62060?

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 62051 and 62060 is 3850885060.

LCM(62051,62060) = 3850885060

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Least Common Multiple of 62051 and 62060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62051 and 62060, than apply into the LCM equation.

GCF(62051,62060) = 1
LCM(62051,62060) = ( 62051 × 62060) / 1
LCM(62051,62060) = 3850885060 / 1
LCM(62051,62060) = 3850885060

Least Common Multiple (LCM) of 62051 and 62060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62051 and 62060. First we will calculate the prime factors of 62051 and 62060.

Prime Factorization of 62051

Prime factors of 62051 are 11, 5641. Prime factorization of 62051 in exponential form is:

62051 = 111 × 56411

Prime Factorization of 62060

Prime factors of 62060 are 2, 5, 29, 107. Prime factorization of 62060 in exponential form is:

62060 = 22 × 51 × 291 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 62051 and 62060.

LCM(62051,62060) = 111 × 56411 × 22 × 51 × 291 × 1071
LCM(62051,62060) = 3850885060