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What is the Least Common Multiple of 30852 and 30862?

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 30852 and 30862 is 476077212.

LCM(30852,30862) = 476077212

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Least Common Multiple of 30852 and 30862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30852 and 30862, than apply into the LCM equation.

GCF(30852,30862) = 2
LCM(30852,30862) = ( 30852 × 30862) / 2
LCM(30852,30862) = 952154424 / 2
LCM(30852,30862) = 476077212

Least Common Multiple (LCM) of 30852 and 30862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30852 and 30862. First we will calculate the prime factors of 30852 and 30862.

Prime Factorization of 30852

Prime factors of 30852 are 2, 3, 857. Prime factorization of 30852 in exponential form is:

30852 = 22 × 32 × 8571

Prime Factorization of 30862

Prime factors of 30862 are 2, 13, 1187. Prime factorization of 30862 in exponential form is:

30862 = 21 × 131 × 11871

Now multiplying the highest exponent prime factors to calculate the LCM of 30852 and 30862.

LCM(30852,30862) = 22 × 32 × 8571 × 131 × 11871
LCM(30852,30862) = 476077212