GCF and LCM Calculator Logo

What is the Least Common Multiple of 30146 and 30160?

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 30146 and 30160 is 454601680.

LCM(30146,30160) = 454601680

LCM Calculator and
and

Least Common Multiple of 30146 and 30160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30146 and 30160, than apply into the LCM equation.

GCF(30146,30160) = 2
LCM(30146,30160) = ( 30146 × 30160) / 2
LCM(30146,30160) = 909203360 / 2
LCM(30146,30160) = 454601680

Least Common Multiple (LCM) of 30146 and 30160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30146 and 30160. First we will calculate the prime factors of 30146 and 30160.

Prime Factorization of 30146

Prime factors of 30146 are 2, 15073. Prime factorization of 30146 in exponential form is:

30146 = 21 × 150731

Prime Factorization of 30160

Prime factors of 30160 are 2, 5, 13, 29. Prime factorization of 30160 in exponential form is:

30160 = 24 × 51 × 131 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 30146 and 30160.

LCM(30146,30160) = 24 × 150731 × 51 × 131 × 291
LCM(30146,30160) = 454601680