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What is the Least Common Multiple of 30106 and 30126?

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 30106 and 30126 is 453486678.

LCM(30106,30126) = 453486678

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Least Common Multiple of 30106 and 30126 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30106 and 30126, than apply into the LCM equation.

GCF(30106,30126) = 2
LCM(30106,30126) = ( 30106 × 30126) / 2
LCM(30106,30126) = 906973356 / 2
LCM(30106,30126) = 453486678

Least Common Multiple (LCM) of 30106 and 30126 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30106 and 30126. First we will calculate the prime factors of 30106 and 30126.

Prime Factorization of 30106

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

30106 = 21 × 150531

Prime Factorization of 30126

Prime factors of 30126 are 2, 3, 5021. Prime factorization of 30126 in exponential form is:

30126 = 21 × 31 × 50211

Now multiplying the highest exponent prime factors to calculate the LCM of 30106 and 30126.

LCM(30106,30126) = 21 × 150531 × 31 × 50211
LCM(30106,30126) = 453486678