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What is the Least Common Multiple of 30100 and 30106?

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 30100 and 30106 is 453095300.

LCM(30100,30106) = 453095300

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Least Common Multiple of 30100 and 30106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30100 and 30106, than apply into the LCM equation.

GCF(30100,30106) = 2
LCM(30100,30106) = ( 30100 × 30106) / 2
LCM(30100,30106) = 906190600 / 2
LCM(30100,30106) = 453095300

Least Common Multiple (LCM) of 30100 and 30106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30100 and 30106. First we will calculate the prime factors of 30100 and 30106.

Prime Factorization of 30100

Prime factors of 30100 are 2, 5, 7, 43. Prime factorization of 30100 in exponential form is:

30100 = 22 × 52 × 71 × 431

Prime Factorization of 30106

Prime factors of 30106 are 2, 15053. Prime factorization of 30106 in exponential form is:

30106 = 21 × 150531

Now multiplying the highest exponent prime factors to calculate the LCM of 30100 and 30106.

LCM(30100,30106) = 22 × 52 × 71 × 431 × 150531
LCM(30100,30106) = 453095300