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What is the Least Common Multiple of 30152 and 30168?

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 30152 and 30168 is 113703192.

LCM(30152,30168) = 113703192

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Least Common Multiple of 30152 and 30168 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30152 and 30168, than apply into the LCM equation.

GCF(30152,30168) = 8
LCM(30152,30168) = ( 30152 × 30168) / 8
LCM(30152,30168) = 909625536 / 8
LCM(30152,30168) = 113703192

Least Common Multiple (LCM) of 30152 and 30168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30152 and 30168. First we will calculate the prime factors of 30152 and 30168.

Prime Factorization of 30152

Prime factors of 30152 are 2, 3769. Prime factorization of 30152 in exponential form is:

30152 = 23 × 37691

Prime Factorization of 30168

Prime factors of 30168 are 2, 3, 419. Prime factorization of 30168 in exponential form is:

30168 = 23 × 32 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 30152 and 30168.

LCM(30152,30168) = 23 × 37691 × 32 × 4191
LCM(30152,30168) = 113703192