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What is the Least Common Multiple of 62056 and 62061?

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 62056 and 62061 is 3851257416.

LCM(62056,62061) = 3851257416

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Least Common Multiple of 62056 and 62061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62056 and 62061, than apply into the LCM equation.

GCF(62056,62061) = 1
LCM(62056,62061) = ( 62056 × 62061) / 1
LCM(62056,62061) = 3851257416 / 1
LCM(62056,62061) = 3851257416

Least Common Multiple (LCM) of 62056 and 62061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62056 and 62061. First we will calculate the prime factors of 62056 and 62061.

Prime Factorization of 62056

Prime factors of 62056 are 2, 7757. Prime factorization of 62056 in exponential form is:

62056 = 23 × 77571

Prime Factorization of 62061

Prime factors of 62061 are 3, 137, 151. Prime factorization of 62061 in exponential form is:

62061 = 31 × 1371 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 62056 and 62061.

LCM(62056,62061) = 23 × 77571 × 31 × 1371 × 1511
LCM(62056,62061) = 3851257416