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What is the Least Common Multiple of 27052 and 27058?

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 27052 and 27058 is 365986508.

LCM(27052,27058) = 365986508

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Least Common Multiple of 27052 and 27058 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27052 and 27058, than apply into the LCM equation.

GCF(27052,27058) = 2
LCM(27052,27058) = ( 27052 × 27058) / 2
LCM(27052,27058) = 731973016 / 2
LCM(27052,27058) = 365986508

Least Common Multiple (LCM) of 27052 and 27058 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27052 and 27058. First we will calculate the prime factors of 27052 and 27058.

Prime Factorization of 27052

Prime factors of 27052 are 2, 6763. Prime factorization of 27052 in exponential form is:

27052 = 22 × 67631

Prime Factorization of 27058

Prime factors of 27058 are 2, 83, 163. Prime factorization of 27058 in exponential form is:

27058 = 21 × 831 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 27052 and 27058.

LCM(27052,27058) = 22 × 67631 × 831 × 1631
LCM(27052,27058) = 365986508