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Least Common Multiple of 30 and 50

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 30 and 50 is 150.

LCM(30,50) = 150

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Least Common Multiple of 30 and 50 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30 and 50, than apply into the LCM equation.

GCF(30,50) = 10
LCM(30,50) = ( 30 × 50) / 10
LCM(30,50) = 1500 / 10
LCM(30,50) = 150

Least Common Multiple (LCM) of 30 and 50 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30 and 50. First we will calculate the prime factors of 30 and 50.

Prime Factorization of 30

Prime factors of 30 are 2, 3, 5. Prime factorization of 30 in exponential form is:

30 = 21 × 31 × 51

Prime Factorization of 50

Prime factors of 50 are 2, 5. Prime factorization of 50 in exponential form is:

50 = 21 × 52

Now multiplying the highest exponent prime factors to calculate the LCM of 30 and 50.

LCM(30,50) = 21 × 31 × 52
LCM(30,50) = 150

Recent Comments
Guest 2020-09-09 06:45:40

This was helpfull if you wnted the answer but I also need the steps like for example how do I get there and when do I stop I can not get any of this info from them telling me what the answer is with no steps.
Who is with me because we need steps to see how to do it Say the teacher ask you to show your work then what are you going to do? So we need steps on GCF and LCM Calculator Logo and brainley and mathway and any other math site you can name.

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