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What is the Least Common Multiple of 30062 and 30067?

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 30062 and 30067 is 903874154.

LCM(30062,30067) = 903874154

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Least Common Multiple of 30062 and 30067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30062 and 30067, than apply into the LCM equation.

GCF(30062,30067) = 1
LCM(30062,30067) = ( 30062 × 30067) / 1
LCM(30062,30067) = 903874154 / 1
LCM(30062,30067) = 903874154

Least Common Multiple (LCM) of 30062 and 30067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30062 and 30067. First we will calculate the prime factors of 30062 and 30067.

Prime Factorization of 30062

Prime factors of 30062 are 2, 15031. Prime factorization of 30062 in exponential form is:

30062 = 21 × 150311

Prime Factorization of 30067

Prime factors of 30067 are 107, 281. Prime factorization of 30067 in exponential form is:

30067 = 1071 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 30062 and 30067.

LCM(30062,30067) = 21 × 150311 × 1071 × 2811
LCM(30062,30067) = 903874154