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What is the Least Common Multiple of 61018 and 61027?

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 61018 and 61027 is 3723745486.

LCM(61018,61027) = 3723745486

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Least Common Multiple of 61018 and 61027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61018 and 61027, than apply into the LCM equation.

GCF(61018,61027) = 1
LCM(61018,61027) = ( 61018 × 61027) / 1
LCM(61018,61027) = 3723745486 / 1
LCM(61018,61027) = 3723745486

Least Common Multiple (LCM) of 61018 and 61027 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61018 and 61027. First we will calculate the prime factors of 61018 and 61027.

Prime Factorization of 61018

Prime factors of 61018 are 2, 30509. Prime factorization of 61018 in exponential form is:

61018 = 21 × 305091

Prime Factorization of 61027

Prime factors of 61027 are 61027. Prime factorization of 61027 in exponential form is:

61027 = 610271

Now multiplying the highest exponent prime factors to calculate the LCM of 61018 and 61027.

LCM(61018,61027) = 21 × 305091 × 610271
LCM(61018,61027) = 3723745486